151227(9)

Ruby

Stern's diatomic series に現れるフィボナッチ数(2)

もう少し調べてみた。

def A002487(n)
  a, b = 0, 1
  ary = [a, b]
  i = 1
  while i < n
    a, b = b, b + a - 2 * (a % b)
    ary << b
    i += 1
  end
  ary[0..n]
end

# フィボナッチ数列は上とよく似ている
def fib_ary(n)
  a, b = 0, 1
  ary = [a, b]
  while b < n
    a, b = b, b + a
    ary << b
  end
  ary
end

N = 22
ary = A002487(2 ** N)
f_ary = fib_ary(ary.max)

p ary.select{|i| f_ary.include?(i)}

出力結果
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