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Search: id:A135055
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| A135055 |
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Pentanacci numbers: a[n]=a[n-1]+a[n-2]+a[n-3]+a[n-4]+a[n-5]; a[0] = -2; a[1] = -1; a[2] = 0; a[3] = 1; a[4] = 2. |
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+0
2
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| -2, -1, 0, 1, 2, 0, 2, 5, 10, 19, 36, 72, 142, 279, 548, 1077, 2118, 4164, 8186, 16093, 31638, 62199, 122280, 240396, 472606, 929119, 1826600, 3591001, 7059722, 13879048, 27285490, 53641861, 105457122, 207323243, 407586764, 801294480, 1575303470, 3096965079, 6088473036, 11969622829
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Piezas, Tito III and Weisstein, Eric W., Pentanacci Number
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FORMULA
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G.f.: -(2*x-1)*(x+1)*(2*x^2+x+2)/(-1+x+x^2+x^3+x^4+x^5). a(n) = -2*A001591(n+4)+A001591(n+3)+3*A001591(n+2)+4*A001591(n+1)+4*A001591(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 18 2007
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MATHEMATICA
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a[n_] := a[n] = a[n - 1] + a[n - 2] + a[n - 3] + a[n - 4] + a[n - 5]; a[0] = -2; a[1] = -1; a[2] = 0; a[3] = 1; a[4] = 2; Table[a[n], {n, 0, 50}] (*Artur Jasinski*)
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CROSSREFS
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Cf. A001591, A135056, A135057, A135058, A135059.
Sequence in context: A141581 A108964 A036581 this_sequence A035148 A155077 A114114
Adjacent sequences: A135052 A135053 A135054 this_sequence A135056 A135057 A135058
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KEYWORD
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sign
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Nov 15 2007
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