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Search: id:A162746
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| 1, 2, 5, 14, 42, 132, 427, 1402, 4629, 15290, 50412, 165816, 544253, 1783602, 5839313, 19106766, 62504002, 204457540, 668825279, 2188016442, 7158417217, 23421034442, 76632061852, 250740203864, 820430583305, 2684486330562
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OFFSET
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0,2
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COMMENT
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Second binomial transform of aerated Fibonacci numbers. Hankel transform is 1,1,1,-1,0,0,0,\ldots.
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FORMULA
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G.f.: (1-2x)^3/(1-8x+23x^2-28x^3+11x^4);
a(n)=sum{k=0..floor(n/2), C(n,2k)*2^(n-2k)*F(k+1)}=sum{k=0..n, C(n,k)*2^(n-k)*F(k/2+1)*(1+(-1)^k)/2}.
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CROSSREFS
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Sequence in context: A006930 A036767 A061922 this_sequence A148329 A024175 A152226
Adjacent sequences: A162743 A162744 A162745 this_sequence A162747 A162748 A162749
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 12 2009
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