A151859 a(0)=0; a(1)=0; a(2)=0; 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.

0, 0, 0, 1, 0, 0, 1, 3, 0, 0, 1, 2, 0, 1, 5, 7, 0, 0, 1, 2, 0, 1, 5, 6, 0, 1, 4, 4, 1, 7, 17, 15, 0, 0, 1, 2, 0, 1, 5, 6, 0, 1, 4, 4, 1, 7, 17, 14, 0, 1, 4, 4, 1, 7, 16, 12, 1, 6, 12, 9, 9, 31, 49, 31, 0, 0, 1, 2, 0, 1, 5, 6, 0, 1, 4, 4, 1, 7, 17, 14, 0, 1, 4, 4, 1, 7, 16, 12, 1, 6, 12, 9, 9, 31, 49, 30

Offset

0,8

Links

Table of n, a(n) for n=0..95.

Formula

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

Crossrefs

Cf. A151843-A151874.

Sequence in context: A319419 A133574 A133573 * A163541 A280815 A165974

Adjacent sequences: A151856 A151857 A151858 * A151860 A151861 A151862

Keyword

nonn

Author

N. J. A. Sloane, Jul 17 2009

Status

approved