A151849 a(0)=1; a(1)=1; a(2)=2; for n>=3 if n=2^i + j with 0<=j<2^i then a(n)=a(j) + a(j + 1) except we add 1 if j=2^i-1.

1, 1, 2, 4, 2, 3, 6, 7, 2, 3, 6, 6, 5, 9, 13, 10, 2, 3, 6, 6, 5, 9, 13, 9, 5, 9, 12, 11, 14, 22, 23, 13, 2, 3, 6, 6, 5, 9, 13, 9, 5, 9, 12, 11, 14, 22, 23, 12, 5, 9, 12, 11, 14, 22, 22, 14, 14, 21, 23, 25, 36, 45, 36, 16, 2, 3, 6, 6, 5, 9, 13, 9, 5, 9, 12, 11, 14, 22, 23, 12, 5, 9, 12, 11, 14

Offset

0,3

Links

Table of n, a(n) for n=0..84.

Formula

I would very much like a g.f. for this sequence!

Crossrefs

Cf. A151843-A151874.

Sequence in context: A354739 A348486 A331279 * A360373 A141387 A349400

Adjacent sequences: A151846 A151847 A151848 * A151850 A151851 A151852

Keyword

nonn

Author

N. J. A. Sloane, Jul 17 2009

Status

approved