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A080250
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Expansion of 1/((1-x)(1-4x)(1-10x)(1-20x)).
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3
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1, 35, 871, 19215, 402591, 8236095, 166570111, 3349906175, 67183250431, 1345516627455, 26928850135551, 538762184167935, 10777095520297471, 215560428864815615, 4311393762242888191, 86229727095755178495
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OFFSET
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0,2
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COMMENTS
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Column k=3 in number triangle A080249.
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LINKS
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FORMULA
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G.f.: 1/((1-x)*(1-4*x)*(1-10*x)*(1-20*x)).
a(n) = (1350*20^n-950*10^n+114*4^n-1)/513.
a(0)=1, a(1)=35, a(2)=871, a(3)=19215, a(n) = 35*a(n-1) -354*a(n-2) +1120*a(n-3) -800*a(n-4). - Harvey P. Dale, Apr 25 2011
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-4x)(1-10x)(1-20x)), {x, 0, 20}], x] (* or *) Table[(1350*20^n-950*10^n+114*4^n-1)/513, {n, 0, 20}] (* or *) LinearRecurrence[{35, -354, 1120, -800}, {1, 35, 871, 19215}, 21] (* Harvey P. Dale, Apr 25 2011 *)
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PROG
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(Magma) [(1350*20^n-950*10^n+114*4^n-1)/513: n in [0..20]]; // Vincenzo Librandi, Aug 05 2013
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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