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A129452
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Expansion of (1-9*x^2-27*x^3)/((1+3*x+9*x^2)*(1-4*x-9*x^2-9*x^3+81*x^4)).
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1
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1, 1, 4, 61, 208, 1093, 7198, 35560, 193450, 1089772, 5837140, 31840051, 174564403, 949080799, 5176371973, 28253599486, 154003756249, 839880083245, 4580937825271, 24980164298164, 136230227328730, 742951002036193
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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LinearRecurrence[{1, 12, 72, 27, -162, -729}, {1, 1, 4, 61, 208, 1093}, 41] (* G. C. Greubel, Feb 07 2024 *)
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PROG
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(Magma) R<x>:=PowerSeriesRing(Integers(), 40); Coefficients(R!( (1-9*x^2-27*x^3)/((1+3*x+9*x^2)*(1-4*x-9*x^2-9*x^3+81*x^4)) )); // G. C. Greubel, Feb 07 2024
(SageMath)
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1-9*x^2-27*x^3)/((1+3*x+9*x^2)*(1-4*x-9*x^2-9*x^3+81*x^4)) ).list()
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CROSSREFS
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KEYWORD
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nonn,less
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AUTHOR
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STATUS
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approved
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