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Search: id:A080144
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| A080144 |
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a(n)=F(4)F(n)F(n+1)+F(5)F(n+1)^2 if n odd, a(n)=F(4)F(n)F(n+1)+F(5)F(n+1)^2-F(5) if n even, F(n)=Fibonacci number A000045. |
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+0
1
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| 0, 8, 21, 63, 165, 440, 1152, 3024, 7917, 20735, 54285, 142128, 372096, 974168, 2550405, 6677055, 17480757, 45765224, 119814912, 313679520, 821223645, 2149991423, 5628750621, 14736260448, 38580030720, 101003831720
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: (8x+5x^2-3x^3)/((1-x^2)(1-2x-2x^2+x^3))
a(n)=sum(i=0, n, A000045(i+5)*A000045(i)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 14 2004
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MATHEMATICA
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CoefficientList[Series[(8x+5x^2-3x^3)/((1-x^2)(1-2x-2x^2+x^3)), {x, 0, 30}], x]
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CROSSREFS
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Cf. A064831 A059840 A080143.
Sequence in context: A075629 A067334 A066859 this_sequence A096018 A054855 A100903
Adjacent sequences: A080141 A080142 A080143 this_sequence A080145 A080146 A080147
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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), Jan 31 2003
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