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A016291
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Expansion of 1/((1-2x)*(1-4x)*(1-9x)).
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2
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1, 15, 163, 1587, 14779, 135027, 1223371, 11042979, 99517627, 896182419, 8067737899, 72618027651, 653595799195, 5882496402291, 52943004475147, 476489187727203, 4288411279413883, 38595735874332243, 347361760307681515, 3126256392524423235, 28136309731742016091
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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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MATHEMATICA
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CoefficientList[Series[1 / ((1 - 2 x) (1 - 4 x) (1 - 9 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jun 26 2013 *)
LinearRecurrence[{15, -62, 72}, {1, 15, 163}, 30] (* Harvey P. Dale, Dec 03 2018 *)
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PROG
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(Magma) I:=[1, 15, 163]; [n le 3 select I[n] else 15*Self(n-1)-62*Self(n-2)+72*Self(n-3): n in [1..20]]; /* or */ m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-2*x)*(1-4*x)*(1-9*x)))); // Vincenzo Librandi, Jun 26 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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