A151851 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)=a(j) + 2*a(j + 1) except we add 1 if j=2^i-1.

0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 4, 6, 3, 0, 0, 2, 1, 0, 4, 6, 2, 0, 4, 4, 1, 8, 16, 12, 4, 0, 0, 2, 1, 0, 4, 6, 2, 0, 4, 4, 1, 8, 16, 12, 3, 0, 4, 4, 1, 8, 16, 10, 2, 8, 12, 6, 17, 40, 40, 20, 5, 0, 0, 2, 1, 0, 4, 6, 2, 0, 4, 4, 1, 8, 16, 12, 3, 0, 4, 4, 1, 8, 16, 10, 2, 8, 12, 6, 17, 40, 40, 20, 4

Offset

0,7

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: A347534 A134015 A113406 * A321447 A341698 A357069

Adjacent sequences: A151848 A151849 A151850 * A151852 A151853 A151854

Keyword

nonn

Author

N. J. A. Sloane, Jul 17 2009

Status

approved