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Search: id:A074677
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| A074677 |
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a(n)=Sum((-1)^(i+Floor(n/2))F(2i+e),(i=0,..,Floor(n/2))), where F(n) = Fibonacci numbers and e=(1/2)(1-(-1)^n). |
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+0
5
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| 0, 1, 1, 1, 2, 4, 6, 9, 15, 25, 40, 64, 104, 169, 273, 441, 714, 1156, 1870, 3025, 4895, 7921, 12816, 20736, 33552, 54289, 87841, 142129, 229970, 372100, 602070, 974169, 1576239, 2550409, 4126648, 6677056, 10803704, 17480761, 28284465, 45765225
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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a(n) is the convolution of F(n) with the sequence (1,0,-1,0,1,0,-1,0,...), A056594.
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FORMULA
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a(n)=a(n-1)+a(n-3)+a(n-4), a(0)=0, a(1)=1, a(2)=1, a(3)=1. G.f.: x/(1 - x - x^3 - x^4).
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MATHEMATICA
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CoefficientList[Series[x/(1 - x - x^3 - x^4), {x, 0, 40}], x]
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CROSSREFS
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Cf. A056594. Essentially the same as A006498.
Adjacent sequences: A074674 A074675 A074676 this_sequence A074678 A074679 A074680
Sequence in context: A076922 A057602 A006498 this_sequence A101756 A096398 A110538
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Aug 30 2002
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