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A021784
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Expansion of 1/((1-x)(1-4x)(1-5x)(1-11x)).
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1
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1, 21, 302, 3762, 43923, 497223, 5545264, 61398804, 677478725, 7463074905, 82149266706, 903924739926, 9944608539607, 109397965416267, 1203414334895828, 13237742692094328, 145616100380861769
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: 1/((1-x)*(1-4*x)*(1-5*x)*(1-11*x)).
a(n) = -1/120 +2^(2n+6)/21 -5^(n+3)/24 +11^(n+3)/420. - Bruno Berselli, May 08 2013
a(n) = 21*a(n-1) - 139*a(n-2) + 339*a(n-3) - 220*a(n-4). - Wesley Ivan Hurt, Jan 01 2024
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MATHEMATICA
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CoefficientList[Series[1/((1 - x) (1 - 4 x) (1 - 5 x) (1 - 11 x)), {x, 0, 20}], x] (* Bruno Berselli, May 08 2013 *)
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PROG
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(PARI) Vec(1/((1-x)*(1-4*x)*(1-5*x)*(1-11*x))+O(x^20)) \\ Bruno Berselli, May 08 2013
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-4*x)*(1-5*x)*(1-11*x)))); // Bruno Berselli, May 08 2013
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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