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Search: id:A080143
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| A080143 |
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a(n)=F(3)F(n)F(n+1)+F(4)F(n+1)^2-F(4) if n even, F(3)F(n)F(n+1)+F(4)F(n+1)^2 if n odd, F(n)= Fibonacci numbers A000045. |
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+0
2
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| 0, 5, 13, 39, 102, 272, 712, 1869, 4893, 12815, 33550, 87840, 229968, 602069, 1576237, 4126647, 10803702, 28284464, 74049688, 193864605, 507544125, 1328767775, 3478759198, 9107509824, 23843770272, 62423800997, 163427632717
(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.: (5x+3x^2-2x^3)/((1-x^2)(1-2x-2x^2+x^3))
a(n)=sum(i=0, n, A000045(i+4)*A000045(i)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 14 2004
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MATHEMATICA
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CoefficientList[Series[(5x+3x^2-2x^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 A080097.
Sequence in context: A071100 A125734 A129924 this_sequence A077919 A026069 A054856
Adjacent sequences: A080140 A080141 A080142 this_sequence A080144 A080145 A080146
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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 30 2003
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