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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, 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
FORMULA
I would very much like a g.f. for this sequence!
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 17 2009
STATUS
approved