A124230 Denominator of g(n) defined by g(1)=1, g(2n)=1/g(n)+1, g(2n+1)=g(2n).

1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13

Offset: 1

Author

Benoit Cloitre, Oct 20 2006

Keywords

• frac
• nonn

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000045, A020650, A070939, A124229.

Programs

Mathematica

Fibonacci[BitLength[Range[100]]] (* Paolo Xausa, Oct 16 2024 *)

PARI

g(n)=if(n<2,1,if(n%2,g(n-1),1/g(n/2)+1))
a(n)=denominator(g(n))

PARI

a(n)=fibonacci(ceil(log(n+1)/log(2)))

Formula

a(n) = A000045(ceiling(log(n+1)/log(2))).

a(n) = A000045(A070939(n)). - Paolo Xausa, Oct 17 2024