A151865 a(0)=1; a(1)=1; a(2)=3; for n>=3 if n=2^i + j with 0<=j<2^i then a(n)=2*a(j) + a(j + 1) except we add 1 if j=2^i-1.

1, 1, 3, 6, 3, 5, 12, 16, 3, 5, 12, 15, 11, 22, 40, 36, 3, 5, 12, 15, 11, 22, 40, 35, 11, 22, 39, 41, 44, 84, 116, 76, 3, 5, 12, 15, 11, 22, 40, 35, 11, 22, 39, 41, 44, 84, 116, 75, 11, 22, 39, 41, 44, 84, 115, 81, 44, 83, 119, 126, 172, 284, 308, 156, 3, 5, 12, 15, 11, 22, 40, 35, 11

Offset

0,3

Links

Table of n, a(n) for n=0..72.

Formula

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

Crossrefs

Cf. A151843-A151874.

Sequence in context: A199951 A351101 A134548 * A124860 A182412 A038138

Adjacent sequences: A151862 A151863 A151864 * A151866 A151867 A151868

Keyword

nonn

Author

N. J. A. Sloane, Jul 17 2009

Status

approved