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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.
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
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