A151857 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)=a(j) + 2*a(j + 1) except we add 1 if j=2^i-1.

1, 1, 3, 8, 3, 7, 19, 15, 3, 7, 19, 14, 17, 45, 49, 22, 3, 7, 19, 14, 17, 45, 49, 21, 17, 45, 47, 48, 107, 143, 93, 29, 3, 7, 19, 14, 17, 45, 49, 21, 17, 45, 47, 48, 107, 143, 93, 28, 17, 45, 47, 48, 107, 143, 91, 55, 107, 139, 143, 262, 393, 329, 151, 36, 3, 7, 19, 14, 17, 45, 49

Offset

0,3

Links

Table of n, a(n) for n=0..70.

Formula

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

Crossrefs

Cf. A151843-A151874.

Sequence in context: A360199 A360851 A117240 * A359200 A125025 A309345

Adjacent sequences: A151854 A151855 A151856 * A151858 A151859 A151860

Keyword

nonn

Author

N. J. A. Sloane, Jul 17 2009

Status

approved