Expansion of ((1 + k*x)/(1 - k*x))^(m/k)(5)
k = 1 のときを出力してみた。
出力結果
[1, [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[2, [1, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100]]
[3, [1, 6, 18, 38, 66, 102, 146, 198, 258, 326, 402, 486, 578, 678, 786, 902, 1026, 1158, 1298, 1446, 1602, 1766, 1938, 2118, 2306, 2502]]
[4, [1, 8, 32, 88, 192, 360, 608, 952, 1408, 1992, 2720, 3608, 4672, 5928, 7392, 9080, 11008, 13192, 15648, 18392, 21440, 24808, 28512, 32568, 36992, 41800]]
[5, [1, 10, 50, 170, 450, 1002, 1970, 3530, 5890, 9290, 14002, 20330, 28610, 39210, 52530, 69002, 89090, 113290, 142130, 176170, 216002, 262250, 315570, 376650, 446210, 525002]]
[6, [1, 12, 72, 292, 912, 2364, 5336, 10836, 20256, 35436, 58728, 93060, 142000, 209820, 301560, 423092, 581184, 783564, 1038984, 1357284, 1749456, 2227708, 2805528, 3497748, 4320608, 5291820]]
[7, [1, 14, 98, 462, 1666, 4942, 12642, 28814, 59906, 115598, 209762, 361550, 596610, 948430, 1459810, 2184462, 3188738, 4553486, 6376034, 8772302, 11879042, 15856206, 20889442, 27192718, 35011074, 44623502]]
[8, [1, 16, 128, 688, 2816, 9424, 27008, 68464, 157184, 332688, 658048, 1229360, 2187520, 3732560, 6140800, 9785072, 15158272, 22900496, 33830016, 48978352, 69629696, 97364944, 134110592, 182192752, 244396544, 324031120]]
[9, [1, 18, 162, 978, 4482, 16722, 53154, 148626, 374274, 864146, 1854882, 3742290, 7159170, 13079250, 22952610, 38878482, 63821826, 101880594, 158611106, 241419474, 360027522, 527022162, 758497698, 1074801042, 1501390338, 2069818002]]
[10, [1, 20, 200, 1340, 6800, 28004, 97880, 299660, 822560, 2060980, 4780008, 10377180, 21278640, 41517060, 77548920, 139380012, 242080320, 407782740, 668274440, 1068305020, 1669752016, 2556801700, 3842321560, 5675620300, 8251811680, 11823020020]]
[11, [1, 22, 242, 1782, 9922, 44726, 170610, 568150, 1690370, 4573910, 11414898, 26572086, 58227906, 121023606, 240089586, 457018518, 838478850, 1488341910, 2564399090, 4300978550, 7039035586, 11265589302, 17664712562, 27182654422, 41110086402, 61184918102]]
[12, [1, 24, 288, 2312, 14016, 68664, 284000, 1022760, 3281280, 9545560, 25534368, 63521352, 148321344, 327572856, 688686048, 1385794152, 2681291520, 5008112280, 9060853280, 15926230920, 27266245056, 45570869944, 74501171808, 119348538792, 187641279616, 289936284120]]
[13, [1, 26, 338, 2938, 19266, 101946, 454610, 1761370, 6065410, 18892250, 53972178, 143027898, 354870594, 830764794, 1847023698, 3921503898, 7988589570, 15677993370, 29746958930, 54734043130, 97926519106, 170763634106, 290835675858, 484685386458, 791675204866, 1269252768602]]
[14, [1, 28, 392, 3668, 25872, 147084, 703640, 2919620, 10746400, 35704060, 108568488, 305568564, 803467056, 1989102444, 4666890936, 10435418532, 22345512000, 46012094940, 91437047240, 175918049300, 328578611536, 597268764748, 1058868074712, 1834389137028, 3110749728352, 5171677701820]]
[15, [1, 30, 450, 4510, 34050, 207006, 1057730, 4680990, 18347010, 64797470, 209070018, 623207070, 1732242690, 4524812190, 11180805570, 26283115038, 59064045570, 127421652510, 264870794690, 532225891230, 1036722552066, 1962569928350, 3618706767810, 6511963979550, 11457102844930, 19739530275102]]
[16, [1, 32, 512, 5472, 44032, 285088, 1549824, 7288544, 30316544, 113461024, 387328512, 1219605600, 3575055360, 9832110240, 25537728000, 63001648608, 148348809216, 334834507296, 727126954496, 1524223640416, 3093172083712, 6092464564128, 11673741260288, 21804412007648, 39773478832128, 70970111952160]]
[17, [1, 34, 578, 6562, 56066, 385186, 2220098, 11058466, 48663554, 192441122, 693230658, 2300164770, 7094825730, 20501991330, 55871829570, 144411206178, 355761664002, 838944980514, 1900906442306, 4152257037218, 8769652761346, 17955289409186, 35721495233602, 69199648501538, 130777539341314, 241521130125602]]
[18, [1, 36, 648, 7788, 70416, 511668, 3116952, 16395516, 76117536, 317222212, 1202893992, 4196289420, 13591279920, 41188096980, 117561917880, 317844953628, 818017823808, 2012724468324, 4752575891144, 10805739370668, 23727649169232, 50452591339764, 104129375982552, 209050519717692, 409027707560544, 781326377027460]]
[19, [1, 38, 722, 9158, 87362, 669446, 4298066, 23810534, 116323586, 509663334, 2029779538, 7428962950, 25216532290, 79995909190, 238745924050, 674152795558, 1810015572994, 4640757865126, 11406058224594, 26964373486406, 61497762026306, 135678002535302, 290259969857618, 603439865557862, 1221518092836098, 2411872177424102]]
[20, [1, 40, 800, 10680, 107200, 864008, 5831520, 33940120, 174074240, 800061160, 3339504032, 12798246520, 45443741760, 150656183240, 469398016480, 1382296736088, 3866465104640, 10317238542760, 26364054632480, 64734486343480, 153196621856192, 350372386417800, 776310358810720, 1670010194226200, 3494968152620160, 7128358422880360]]
[21, [1, 42, 882, 12362, 130242, 1101450, 7796978, 47568618, 255582978, 1229718378, 5369283570, 21507034122, 79749022402, 275848947402, 895903147122, 2747597899690, 7996359740418, 22180063387818, 58861356563058, 149959897539018, 367891005738690, 871460014012682, 1998142759241202, 4444463312278122, 9609441659124482, 20232768234625002]]
[22, [1, 44, 968, 14212, 156816, 1388508, 10286936, 65652532, 368804128, 1854105484, 8453107432, 35329425124, 136585481648, 492183451452, 1663935545976, 5307436592788, 16051394232896, 46227817361132, 127269237312008, 336090491414084, 853941394691792, 2093292414443164, 4962895187697048, 11405501259216372, 25459406230618976, 55301616124368460]]
[23, [1, 46, 1058, 16238, 187266, 1732590, 13408034, 89347502, 523804162, 2746713774, 13053926690, 56836459246, 228751366018, 857520299118, 3013639296546, 9985011435310, 31343842260994, 93623053855022, 267120108528162, 730479837254254, 1920511723360130, 4867745532495086, 11923933134635298, 28292329581548718, 65157237071384066, 145918259426371502]]
[24, [1, 48, 1152, 18448, 221952, 2141808, 17282432, 120037968, 733189632, 4003707568, 19804348032, 89694733968, 375282559232, 1461554224368, 5332713820032, 18331364551888, 59660218248192, 184627114364208, 545370276747392, 1542970222529808, 4193961783144192, 10982219038999408, 27773897706129792, 67990160422313808, 161439727075246592, 372515223573002160]]
[25, [1, 50, 1250, 20850, 261250, 2625010, 22049250, 159369650, 1012597250, 5749494450, 29557550050, 139056632050, 604033925250, 2440870708850, 9235138753250, 32899217125170, 110890799925250, 355178132537650, 1085175523649250, 3173516022926450, 8910448028600450, 24086628850744050, 62842745595873250, 158606803724316850, 388036691221877250, 921991641870126002]]
[26, [1, 52, 1352, 23452, 305552, 3191812, 27866072, 209284972, 1381251872, 8143343572, 43450388072, 212064570172, 955155127472, 4000059761572, 15676069223672, 57810425102092, 201600442152512, 667669374615412, 2108023030802312, 6366714577378012, 18450678628904912, 51447755508249412, 138377129954866712, 359826679275056812, 906470174221250912, 2216498507313254164]]
[27, [1, 54, 1458, 26262, 355266, 3852630, 34910514, 272061558, 1862598402, 11387193846, 62980925490, 318495883734, 1485715581378, 6440930470422, 26117059455666, 99603553781430, 359014421036034, 1228284237803958, 4003976643221682, 12478714251402006, 37296107457684930, 107194541594839254, 297019427057955378, 795223236287878902, 2061520089784186626, 5184488771318691702]]
[28, [1, 56, 1568, 29288, 410816, 4618712, 43381856, 350353928, 2485013888, 15734806136, 90102925472, 471579734696, 2275791199808, 10202437251608, 42760427177696, 168481040414792, 627099015232256, 2214397674072248, 7446658555097888, 23929349449721576, 73704171158808512, 218194820211332696, 622408788864127328, 1714651452209961608, 4571394778282027136, 11817403639384905464]]
[29, [1, 58, 1682, 32538, 472642, 5502170, 53502738, 447238522, 3282606338, 21502426362, 127340157970, 689022818138, 3436393752642, 15914622204058, 68877486633362, 280118954225850, 1075699009872898, 3917195699177402, 13578251928347538, 44954259933167002, 142587780541697090, 434486771911838298, 1275090380987298322, 3612150622061387258, 9898196852553376002, 26286995270220308602]]
[30, [1, 60, 1800, 36020, 541200, 6516012, 65520920, 566262180, 4296107040, 29081139740, 177923724072, 994286700180, 5119703270960, 24470719227660, 109262828065080, 458259268924292, 1814077233023040, 6806971942073340, 24302419569598280, 82834931431112820, 270376971905976912, 847451524359512300, 2557028677258648920, 7444269680307334500, 20954617154922097760, 57139809277695782364]]
[31, [1, 62, 1922, 39742, 616962, 7674174, 79711106, 711494206, 5573863426, 38951110206, 245955974018, 1418166398270, 7532156369410, 37122578868030, 170856126160770, 738378223150142, 3010714725097474, 11631763900193854, 42741155411865474, 149878506412576574, 503090409749666306, 1620918906015155518, 5025399107633316738, 15026697465199300158, 43425584300428732418, 121520010733046612542]]
[32, [1, 64, 2048, 43712, 700416, 8991552, 96376832, 887582144, 7172939776, 51697913408, 336604997632, 2000727369920, 10951050137600, 55605785375040, 263584490403840, 1172818839714752, 4921911787962368, 19564390413253696, 73937309725313024, 266556971549755072, 919525887711997952, 3043535203476819776, 9689853217125292032, 29741949789957908928, 88194231555585941504, 253139826589061286464]]
[33, [1, 66, 2178, 47938, 792066, 10484034, 115852418, 1099811394, 9160333314, 68031186498, 456334097538, 2793666465090, 15745443972610, 82302279485250, 401492555264130, 1837895885382722, 7932626513059842, 32418928714275906, 125920628852842626, 466414910127910722, 1652497769389663746, 5615558860578481474, 18348947281180593282, 57780750288263794242, 175716931633807644674, 517050989778454872642]]
[34, [1, 68, 2312, 52428, 892432, 12168532, 138504984, 1354168796, 11614313504, 88805833316, 613171117352, 3863171679980, 22402282117680, 120450005575540, 604244840324920, 2843633280971772, 12614155679414336, 52965710906750084, 211305268473868616, 803640807454621964, 2922553486972196432, 10190610116940341652, 34155116258699416408, 110284813828143803932, 343782495750215242848, 1036550417162477760164]]
[35, [1, 70, 2450, 57190, 1002050, 14063014, 164736530, 1657410310, 14625892610, 115046039430, 817022990098, 5293365787430, 31558819585090, 174411107278310, 899105953178770, 4346984074475462, 19804773034861570, 85384639621025990, 349655619001644690, 1364601694930135270, 5090795989356953666, 18203959593269491750, 62549685968909249810, 206989616055752470150, 661056925634111516930, 2041389838546804519942]]
[36, [1, 72, 2592, 62232, 1121472, 16186536, 194986080, 2017132920, 18300435840, 147972367880, 1080041397408, 7190430174936, 44042615547456, 250012542410856, 1323529602867936, 6569619630522168, 30721376739859200, 135910789395746760, 570951048018417440, 2285208361950197400, 8740606046237286336, 32035361628863731752, 112789007191042473312, 382328309215704193272, 1250374850905568180352, 3952821615086484217224]]
[37, [1, 74, 2738, 67562, 1251266, 18559274, 229731890, 2441850890, 22759419650, 189032223370, 1417045988658, 9687517561002, 60920563283394, 354975721241706, 1928517866520498, 9821667099910602, 47112663470291970, 213744829605897930, 920606667020062130, 3776766076988676970, 14802580485176160706, 55578548160277178794, 200402916980183383858, 695520233386930050442, 2328223393508202424066, 7531419859500254821642]]
[38, [1, 76, 2888, 73188, 1392016, 21202556, 269493720, 2941076500, 28142347040, 239933990060, 1846012202088, 12950575751748, 83558656596144, 499454941121244, 2782948528883448, 14533133495314548, 71467464065517120, 332324957141707020, 1466676453767667080, 6164049197776406180, 24743395759941243856, 95124524405394583356, 351105989545855146008, 1247029139912968580308, 4270772766808101054816, 14130416019816558300524]]
[39, [1, 78, 3042, 79118, 1544322, 24138894, 314835170, 3525405390, 34608828930, 302685166030, 2388631358178, 17185219312014, 113694451659906, 696708049377294, 3979111519381986, 21295193543579982, 107295791104411650, 511088212311635790, 2310089623221009890, 9940815274765083150, 40848260232482733186, 160716180397818560398, 606946694349068289762, 2205081823807892016078, 7722883730528961651202, 26124072517153621006542]]
[40, [1, 80, 3200, 85360, 1708800, 27392016, 366366080, 4206606640, 42340840960, 379634835920, 3070951360128, 22644802030320, 153524473002240, 963926974039440, 5639746542798720, 30914051605760688, 159505036253752320, 777889039669799760, 3599066875202445440, 15849971773188538480, 66639047280436354816, 268203487910737648400, 1035866362657624498560, 3847894880814584804400, 13775860435151438471680, 47622816682834021129424]]
[41, [1, 82, 3362, 91922, 1886082, 30986898, 424744994, 4997717714, 51545165314, 473520842194, 3924107038242, 29639860428690, 205809135461250, 1323260582502930, 7926934099341090, 44480732247900498, 234899820107413506, 1172293896030965586, 5549249810903210786, 24998288459294194706, 107487307512919088002, 442329842704093091218, 1746399693272455238178, 6630160936744664541138, 24253916252710687817218, 85652593370696147418322]]
[42, [1, 84, 3528, 98812, 2076816, 34949796, 490681688, 5913144396, 62456027424, 587522034932, 4985149915368, 38549117382300, 273998113272240, 1803067831236420, 11053262513080440, 63460928860322028, 342841481215636032, 1750035197354015124, 8471578904288191496, 39019117174485596988, 171504713146698879696, 721321863363711058916, 2910051399340259388312, 11286612029357379167628, 42170689218812731525984, 152077198842219566761524]]
[43, [1, 86, 3698, 106038, 2281666, 39308278, 564939762, 6968765846, 75337937666, 725316000022, 6297987950322, 49832255247990, 362379485902530, 2439445430411190, 15295775774728050, 89809967148130518, 496112377224088578, 2588989055793739734, 12810603157435946354, 60301299236209734838, 270825129557394211522, 1163651706067804150134, 4795024968771774597362, 18991688397469413153302, 72448989645639523846914, 266696877706671822134422]]
[44, [1, 88, 3872, 113608, 2501312, 44091256, 648339296, 8182044904, 90488748416, 891142686104, 7914446636448, 64044689834760, 476256430985280, 3278081347299000, 21013302552438240, 126119045475296808, 712041389847515904, 3797142822865344216, 19196735036095030304, 92308637429740711496, 423435066223344657856, 1857911901848543019512, 7816588576688121767008, 31603301942929309517672, 123043979986038246517888, 462189847338349592499224]]
[45, [1, 90, 4050, 121530, 2736450, 49329018, 741759570, 9572143770, 108242937090, 1089874371610, 9895463694162, 81854600165370, 622155720985410, 4376493499269690, 28667877399006930, 175800225426741978, 1013960660749554690, 5523144873462414810, 28517022732422789330, 140022395198258531130, 655766098851343900482, 2937113066923231577850, 12611613545459896364370, 52031504065077327649050, 206678785994044883684610, 791912613318432722701722]]
[46, [1, 92, 4232, 129812, 2987792, 55053260, 846141848, 11160045188, 128975126048, 1327092434748, 12312430500520, 104062494360052, 808072815510832, 5806722035765932, 38851092934042552, 243319195759791460, 1433080081936088128, 7970185616148057628, 42010353222033261768, 210549771152714582228, 1006338265202317013840, 4599217430976892492172, 20147944043360020434392, 84791061653897244447812, 343501351713019455781472, 1342092751025497062167804]]
[47, [1, 94, 4418, 138462, 3256066, 61297118, 962492226, 12968679262, 153103850498, 1609171411294, 15248694346562, 131623619207134, 1043758929078018, 7658553780354782, 52316368750163266, 334486657443997278, 2010885935139876866, 11414151633224022622, 61394690471405342018, 313954814846153186014, 1530842851201184782082, 7136398547380394288094, 31883560021717307214658, 136822565718974572096862, 565114979085891272326146, 2250709081824407790275422]]
[48, [1, 96, 4608, 147488, 3542016, 68095200, 1091884544, 15023056032, 181095585792, 1943370847584, 18801236605440, 165673550159136, 1341056098444288, 10043368807877088, 70018291338395136, 456821317532555680, 2802193910116429824, 16227231478480329312, 89036073583109693952, 464385578900668221984, 2309183244948006190080, 10976424643529585260256, 49996383212627286763008, 218702508953319166074528, 920640053758185010497536, 3736464114668484073099104]]
[49, [1, 98, 4802, 156898, 3846402, 75483618, 1235463362, 17350403938, 213469045762, 2337935479138, 23082542932162, 207557329696738, 1714286978300162, 13098711884621538, 93160372030893762, 619999980901844578, 3879015208550830082, 22908440597147589218, 128171745658737612482, 681593398142515528418, 3455162221991189940482, 16740770110468781390818, 77713577966625653414082, 346412470132572106251618, 1485755032844076282823682, 6142859201270745366420322]]
[50, [1, 100, 5000, 166700, 4170000, 83500020, 1394447000, 19980314300, 250799764000, 2802204288900, 28222682700200, 258862555329100, 2180706863326000, 16993705726247700, 123252789641763000, 836413142574501340, 5335428332027176000, 32122884137725595300, 183203070393610797000, 992968214194863937900, 5129723834328569406800, 25325656166788540738100, 119780004243882975543000, 543906052343080735208700, 2376073555319729124284000, 10004687789434550773528004]]
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[88, [1, 176, 15488, 908688, 39990016, 1408193776, 41333677440, 1040252599760, 22916557452800, 448955097765680, 7919942966638208, 127086414364383248, 1870534029816486144, 25431687677362290544, 321315959969540069248, 3792148059629650797648, 41994780120899506334720, 438115501304279875110320, 4321124706193758340042880, 40419258516435485564443280, 359578487180206655473139456, 3050179983596602170904617456, 24728329402573005235848884608, 192010424109059894221669593808, 1430744078752131145758438498816, 10249087904595338368823343057968]]
[89, [1, 178, 15842, 940018, 41838722, 1490022514, 44231893730, 1125818170930, 25082628223490, 496954283441970, 8865852347845858, 143872209678867314, 2141492653859736706, 29443714361038513394, 376191362007940873186, 4489655381607131740082, 50276583562136288872450, 530386864987315670317490, 5289627072485353885470690, 50030010295114597789956850, 450027755991756738827539586, 3859786226768565565205296498, 31638295612938172971958798562, 248377049124571072429477276978, 1871131551985762112409585369602, 13550963535333231626991366926386]]
[90, [1, 180, 16200, 972060, 43750800, 1575612036, 47297528280, 1217347592940, 27425793987360, 549462705652820, 9912269336940648, 162650331363653820, 2448015194902257840, 34033222209800507940, 439668298578779894520, 5305515042193852507788, 60071753985937273120320, 640735202535389232310260, 6460749140008058788098440, 61780386507608010463525980, 561838152794479347081022416, 4871652135554801651113858500, 40369733975261540188277953560, 320385078712770785589714029100, 2439893679823103970428776675680, 17861988767142097709829728971668]]
[91, [1, 182, 16562, 1004822, 45727682, 1665090518, 50538230834, 1315183352054, 29958324932354, 606846824572534, 11068578867166002, 183631179567760470, 2794296705833672130, 39275534110536437910, 512977054899116840370, 6258160395671749242678, 71635429423802874870786, 772442385945129380301366, 7873926728488577400710066, 76115062376104646652334486, 699733601678192004196882882, 6133223890027473002391763798, 51374610000843814841783575858, 412129422688876140619775558518, 3172408181224750896638266263298, 23474290628189952576896771910646]]
[92, [1, 184, 16928, 1038312, 47770816, 1758589016, 53961910368, 1419683493256, 32693191777664, 669498341282552, 12344924033021088, 207044682467947560, 3184972567869380160, 45254803384239490200, 597507392393892768480, 7368644842964758851528, 85262234662439382964992, 929340050031371638137144, 9575709164465078419148576, 93564698269058302472193128, 869413362323354953321410496, 7702370854029019959910057176, 65210204744900307804085396832, 528714237434620263265644531208, 4113251841348247300523686353024, 30759950650762950774058724526968]]
[93, [1, 186, 17298, 1072538, 49881666, 1856241498, 57576740882, 1531222144506, 35644097415426, 737835630475642, 13752258004779282, 233141864505747930, 3625159114843075650, 52064935066951946010, 694827130845084204690, 8660979366203735824698, 101291858871607877641218, 1115894143565418898743354, 11620943358061868956029074, 114761350791585249847370778, 1077739411383998505640974402, 9649523627736373418872442074, 82562099226665701182867896082, 676486541406186272252597824122, 5318452620189053836041928708354, 40191655112300251910624339588346]]
[94, [1, 188, 17672, 1107508, 52061712, 1958184876, 61391167256, 1650190052644, 38825509612576, 812305237503644, 15302398872758568, 262196521383285780, 4120497500732109360, 59810591682527131020, 806702657594563281720, 10162509154643383311108, 120115347392454996777024, 1337301349829481773161596, 14074138851456769627934024, 140456433001103888431333876, 1332957195176687643919679056, 12060220234297059568433095532, 104271843088699134170173433688, 863320483721551107605639153892, 6858259645316791215900165686368, 52368367377806096962566433983068]]
[95, [1, 190, 18050, 1143230, 54312450, 2064559038, 65413911170, 1776995131070, 42252694796290, 893383441912510, 17008087552174722, 294507007808219070, 4677201029923614210, 68608290213182854590, 935121539490273267330, 11904333351728219860158, 142182189898826599948290, 1599598887120763369886910, 17011039088407014770982530, 171541610940967672830250430, 1644955239118759205181263362, 15038132668592506417534037950, 131370195991588700156140567170, 1098962522801838941931953154750, 8820542651840181265437757995010, 68047169674963069443904357664446]]
[96, [1, 192, 18432, 1179712, 56635392, 2175506880, 69653977088, 1912063019328, 45941752946688, 981577889655488, 18883048883742720, 330398144244136512, 5302106181975969792, 78587597425082438592, 1082317427128538560512, 13921772318347031688000, 168008295568901851496448, 1909789372588491821331648, 20520427348116269962201088, 209073077377490957563434048, 2025569927437217835574947840, 18708657835148483458290249152, 165116986495329690031964854272, 1395449705288757332120058576192, 11314954879930777539489769725952, 88182667206734028248831885385408]]
[97, [1, 194, 18818, 1216962, 59032066, 2291174338, 74120658306, 2055837654722, 49909653620738, 1077429296222914, 20942056069621122, 370223249197500354, 6002727575417606658, 89892431182476015042, 1250797455736097014146, 16254887201211667262658, 198184955088460550447106, 2275982623245854223275202, 24706199343950616006807938, 254299704069557843532443074, 2488942708884266636670824962, 23223170471469967930536021954, 207048814801948141420791125378, 1767615506586035163572814555842, 14478020091805570035182642857986, 113975642178470375823504297969346]]
[98, [1, 196, 19208, 1254988, 61504016, 2411710420, 78823543064, 2208781856092, 54174273131552, 1181513222975204, 23200998588819240, 414366303855940716, 6787317128471047728, 102682475886364669428, 1443372362804937698616, 18949057019752701975420, 233388899309424919685184, 2707556477643739693407492, 29689738444840209923490632, 308695641858348669462741644, 3051938054812173149666009680, 28764051235166407716872856596, 259036036508584517068200003928, 2233700357896567822061805685148, 18479335956288173020817263098976, 146932998226564118879504203926308]]
[99, [1, 198, 19602, 1293798, 64052802, 2537267238, 83772520722, 2371377919878, 58754432907522, 1294441929014278, 25676953740808722, 463244256185568678, 7664927688512557122, 117134720703348274278, 1663189559394650642322, 22055618941952290316358, 274393575271129911976962, 3215338952224294525069638, 35612633874708244141967762, 373998014177897123528200038, 3734631710848418942656951362, 35550621000826999809195817638, 323350708744577924594268678162, 2816087103149730263724274367238, 23529123417334471106603343151362, 188941457600186763006924810176646]]
[100, [1, 200, 20000, 1333400, 66680000, 2668000040, 88977788000, 2544128228600, 63669939056000, 1416866300977800, 28388261970800800, 517309471897178200, 8645481416595304000, 133445129808456135400, 1913769409906455052000, 25632577911253396010680, 322081772124335598304000, 3811814299619760035350600, 42639787126552298702388000, 452250435179157666372555800, 4560880160205473732557707200, 43846132871880892484410476200, 402747462617285816887874972000, 3542185274511594005206418017400, 29887395794995795375534035536000, 242357976812517029489062188864008]]
def A(k, m, n)
a, b = 1, 2 * m
ary = [1]
cnt = 0
while cnt < n
a, b = b, (2 * m * b + k * k * cnt * a) / (cnt + 2r)
a = a.to_i if a.denominator == 1
ary << a
cnt += 1
end
ary
end
n = 25
(1..100).each{|i| p [i, A(1, i, n)]}
出力結果
[1, [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]
[2, [1, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100]]
[3, [1, 6, 18, 38, 66, 102, 146, 198, 258, 326, 402, 486, 578, 678, 786, 902, 1026, 1158, 1298, 1446, 1602, 1766, 1938, 2118, 2306, 2502]]
[4, [1, 8, 32, 88, 192, 360, 608, 952, 1408, 1992, 2720, 3608, 4672, 5928, 7392, 9080, 11008, 13192, 15648, 18392, 21440, 24808, 28512, 32568, 36992, 41800]]
[5, [1, 10, 50, 170, 450, 1002, 1970, 3530, 5890, 9290, 14002, 20330, 28610, 39210, 52530, 69002, 89090, 113290, 142130, 176170, 216002, 262250, 315570, 376650, 446210, 525002]]
[6, [1, 12, 72, 292, 912, 2364, 5336, 10836, 20256, 35436, 58728, 93060, 142000, 209820, 301560, 423092, 581184, 783564, 1038984, 1357284, 1749456, 2227708, 2805528, 3497748, 4320608, 5291820]]
[7, [1, 14, 98, 462, 1666, 4942, 12642, 28814, 59906, 115598, 209762, 361550, 596610, 948430, 1459810, 2184462, 3188738, 4553486, 6376034, 8772302, 11879042, 15856206, 20889442, 27192718, 35011074, 44623502]]
[8, [1, 16, 128, 688, 2816, 9424, 27008, 68464, 157184, 332688, 658048, 1229360, 2187520, 3732560, 6140800, 9785072, 15158272, 22900496, 33830016, 48978352, 69629696, 97364944, 134110592, 182192752, 244396544, 324031120]]
[9, [1, 18, 162, 978, 4482, 16722, 53154, 148626, 374274, 864146, 1854882, 3742290, 7159170, 13079250, 22952610, 38878482, 63821826, 101880594, 158611106, 241419474, 360027522, 527022162, 758497698, 1074801042, 1501390338, 2069818002]]
[10, [1, 20, 200, 1340, 6800, 28004, 97880, 299660, 822560, 2060980, 4780008, 10377180, 21278640, 41517060, 77548920, 139380012, 242080320, 407782740, 668274440, 1068305020, 1669752016, 2556801700, 3842321560, 5675620300, 8251811680, 11823020020]]
[11, [1, 22, 242, 1782, 9922, 44726, 170610, 568150, 1690370, 4573910, 11414898, 26572086, 58227906, 121023606, 240089586, 457018518, 838478850, 1488341910, 2564399090, 4300978550, 7039035586, 11265589302, 17664712562, 27182654422, 41110086402, 61184918102]]
[12, [1, 24, 288, 2312, 14016, 68664, 284000, 1022760, 3281280, 9545560, 25534368, 63521352, 148321344, 327572856, 688686048, 1385794152, 2681291520, 5008112280, 9060853280, 15926230920, 27266245056, 45570869944, 74501171808, 119348538792, 187641279616, 289936284120]]
[13, [1, 26, 338, 2938, 19266, 101946, 454610, 1761370, 6065410, 18892250, 53972178, 143027898, 354870594, 830764794, 1847023698, 3921503898, 7988589570, 15677993370, 29746958930, 54734043130, 97926519106, 170763634106, 290835675858, 484685386458, 791675204866, 1269252768602]]
[14, [1, 28, 392, 3668, 25872, 147084, 703640, 2919620, 10746400, 35704060, 108568488, 305568564, 803467056, 1989102444, 4666890936, 10435418532, 22345512000, 46012094940, 91437047240, 175918049300, 328578611536, 597268764748, 1058868074712, 1834389137028, 3110749728352, 5171677701820]]
[15, [1, 30, 450, 4510, 34050, 207006, 1057730, 4680990, 18347010, 64797470, 209070018, 623207070, 1732242690, 4524812190, 11180805570, 26283115038, 59064045570, 127421652510, 264870794690, 532225891230, 1036722552066, 1962569928350, 3618706767810, 6511963979550, 11457102844930, 19739530275102]]
[16, [1, 32, 512, 5472, 44032, 285088, 1549824, 7288544, 30316544, 113461024, 387328512, 1219605600, 3575055360, 9832110240, 25537728000, 63001648608, 148348809216, 334834507296, 727126954496, 1524223640416, 3093172083712, 6092464564128, 11673741260288, 21804412007648, 39773478832128, 70970111952160]]
[17, [1, 34, 578, 6562, 56066, 385186, 2220098, 11058466, 48663554, 192441122, 693230658, 2300164770, 7094825730, 20501991330, 55871829570, 144411206178, 355761664002, 838944980514, 1900906442306, 4152257037218, 8769652761346, 17955289409186, 35721495233602, 69199648501538, 130777539341314, 241521130125602]]
[18, [1, 36, 648, 7788, 70416, 511668, 3116952, 16395516, 76117536, 317222212, 1202893992, 4196289420, 13591279920, 41188096980, 117561917880, 317844953628, 818017823808, 2012724468324, 4752575891144, 10805739370668, 23727649169232, 50452591339764, 104129375982552, 209050519717692, 409027707560544, 781326377027460]]
[19, [1, 38, 722, 9158, 87362, 669446, 4298066, 23810534, 116323586, 509663334, 2029779538, 7428962950, 25216532290, 79995909190, 238745924050, 674152795558, 1810015572994, 4640757865126, 11406058224594, 26964373486406, 61497762026306, 135678002535302, 290259969857618, 603439865557862, 1221518092836098, 2411872177424102]]
[20, [1, 40, 800, 10680, 107200, 864008, 5831520, 33940120, 174074240, 800061160, 3339504032, 12798246520, 45443741760, 150656183240, 469398016480, 1382296736088, 3866465104640, 10317238542760, 26364054632480, 64734486343480, 153196621856192, 350372386417800, 776310358810720, 1670010194226200, 3494968152620160, 7128358422880360]]
[21, [1, 42, 882, 12362, 130242, 1101450, 7796978, 47568618, 255582978, 1229718378, 5369283570, 21507034122, 79749022402, 275848947402, 895903147122, 2747597899690, 7996359740418, 22180063387818, 58861356563058, 149959897539018, 367891005738690, 871460014012682, 1998142759241202, 4444463312278122, 9609441659124482, 20232768234625002]]
[22, [1, 44, 968, 14212, 156816, 1388508, 10286936, 65652532, 368804128, 1854105484, 8453107432, 35329425124, 136585481648, 492183451452, 1663935545976, 5307436592788, 16051394232896, 46227817361132, 127269237312008, 336090491414084, 853941394691792, 2093292414443164, 4962895187697048, 11405501259216372, 25459406230618976, 55301616124368460]]
[23, [1, 46, 1058, 16238, 187266, 1732590, 13408034, 89347502, 523804162, 2746713774, 13053926690, 56836459246, 228751366018, 857520299118, 3013639296546, 9985011435310, 31343842260994, 93623053855022, 267120108528162, 730479837254254, 1920511723360130, 4867745532495086, 11923933134635298, 28292329581548718, 65157237071384066, 145918259426371502]]
[24, [1, 48, 1152, 18448, 221952, 2141808, 17282432, 120037968, 733189632, 4003707568, 19804348032, 89694733968, 375282559232, 1461554224368, 5332713820032, 18331364551888, 59660218248192, 184627114364208, 545370276747392, 1542970222529808, 4193961783144192, 10982219038999408, 27773897706129792, 67990160422313808, 161439727075246592, 372515223573002160]]
[25, [1, 50, 1250, 20850, 261250, 2625010, 22049250, 159369650, 1012597250, 5749494450, 29557550050, 139056632050, 604033925250, 2440870708850, 9235138753250, 32899217125170, 110890799925250, 355178132537650, 1085175523649250, 3173516022926450, 8910448028600450, 24086628850744050, 62842745595873250, 158606803724316850, 388036691221877250, 921991641870126002]]
[26, [1, 52, 1352, 23452, 305552, 3191812, 27866072, 209284972, 1381251872, 8143343572, 43450388072, 212064570172, 955155127472, 4000059761572, 15676069223672, 57810425102092, 201600442152512, 667669374615412, 2108023030802312, 6366714577378012, 18450678628904912, 51447755508249412, 138377129954866712, 359826679275056812, 906470174221250912, 2216498507313254164]]
[27, [1, 54, 1458, 26262, 355266, 3852630, 34910514, 272061558, 1862598402, 11387193846, 62980925490, 318495883734, 1485715581378, 6440930470422, 26117059455666, 99603553781430, 359014421036034, 1228284237803958, 4003976643221682, 12478714251402006, 37296107457684930, 107194541594839254, 297019427057955378, 795223236287878902, 2061520089784186626, 5184488771318691702]]
[28, [1, 56, 1568, 29288, 410816, 4618712, 43381856, 350353928, 2485013888, 15734806136, 90102925472, 471579734696, 2275791199808, 10202437251608, 42760427177696, 168481040414792, 627099015232256, 2214397674072248, 7446658555097888, 23929349449721576, 73704171158808512, 218194820211332696, 622408788864127328, 1714651452209961608, 4571394778282027136, 11817403639384905464]]
[29, [1, 58, 1682, 32538, 472642, 5502170, 53502738, 447238522, 3282606338, 21502426362, 127340157970, 689022818138, 3436393752642, 15914622204058, 68877486633362, 280118954225850, 1075699009872898, 3917195699177402, 13578251928347538, 44954259933167002, 142587780541697090, 434486771911838298, 1275090380987298322, 3612150622061387258, 9898196852553376002, 26286995270220308602]]
[30, [1, 60, 1800, 36020, 541200, 6516012, 65520920, 566262180, 4296107040, 29081139740, 177923724072, 994286700180, 5119703270960, 24470719227660, 109262828065080, 458259268924292, 1814077233023040, 6806971942073340, 24302419569598280, 82834931431112820, 270376971905976912, 847451524359512300, 2557028677258648920, 7444269680307334500, 20954617154922097760, 57139809277695782364]]
[31, [1, 62, 1922, 39742, 616962, 7674174, 79711106, 711494206, 5573863426, 38951110206, 245955974018, 1418166398270, 7532156369410, 37122578868030, 170856126160770, 738378223150142, 3010714725097474, 11631763900193854, 42741155411865474, 149878506412576574, 503090409749666306, 1620918906015155518, 5025399107633316738, 15026697465199300158, 43425584300428732418, 121520010733046612542]]
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