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A028037
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Expansion of 1/((1-3x)(1-4x)(1-6x)(1-12x)).
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2
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1, 25, 415, 5845, 76111, 952525, 11679655, 141710965, 1710104671, 20579684125, 247310795095, 2969873300485, 35651407676431, 427894724193325, 5135204742169735, 61625269469056405, 739520126057523391
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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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a(n) = (12^(n+3) - 12*6^(n+3) + 27*4^(n+3) - 16*3^(n+3))/432 = -3^n + 4^(n+1) + 3^n*4^(n+1) - 6^(n+1). - Yahia Kahloune, May 31 2013
a(n) = 25*a(n-1) - 210*a(n-2) + 720*a(n-3) - 864*a(n-4), with a(0)=1, a(1)=25, a(2)=415, a(3)=5845. - Harvey P. Dale, May 23 2014
E.g.f.: (-1 + 4*exp(x) - 6*exp(3*x) + 4*exp(9*x))*exp(3*x). - Ilya Gutkovskiy, Apr 17 2016
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MATHEMATICA
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CoefficientList[Series[1/((1-3x)(1-4x)(1-6x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{25, -210, 720, -864}, {1, 25, 415, 5845}, 30] (* Harvey P. Dale, May 23 2014 *)
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PROG
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(Maxima)
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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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