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A151849
a(0)=1; a(1)=1; a(2)=2; for n>=3 if n=2^i + j with 0<=j<2^i then a(n)=a(j) + a(j + 1) except we add 1 if j=2^i-1.
1
1, 1, 2, 4, 2, 3, 6, 7, 2, 3, 6, 6, 5, 9, 13, 10, 2, 3, 6, 6, 5, 9, 13, 9, 5, 9, 12, 11, 14, 22, 23, 13, 2, 3, 6, 6, 5, 9, 13, 9, 5, 9, 12, 11, 14, 22, 23, 12, 5, 9, 12, 11, 14, 22, 22, 14, 14, 21, 23, 25, 36, 45, 36, 16, 2, 3, 6, 6, 5, 9, 13, 9, 5, 9, 12, 11, 14, 22, 23, 12, 5, 9, 12, 11, 14
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