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A019333
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Expansion of 1/((1-4x)(1-6x)(1-8x)).
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4
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1, 18, 220, 2280, 21616, 194208, 1685440, 14290560, 119232256, 983566848, 8047836160, 65462691840, 530198327296, 4280634482688, 34479631482880, 277245459333120, 2226418414452736, 17862092934217728
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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(0)=1, a(1)=18, a(2)=220; for n>2, a(n) = 18*a(n-1) -104*a(n-2) +192*a(n-3). - Vincenzo Librandi, Jul 02 2013
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - 4 x) (1 - 6 x) (1 - 8 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 02 2013 *)
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PROG
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(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-4*x)*(1-6*x)*(1-8*x)))); /* or */ I:=[1, 18, 220]; [n le 3 select I[n] else 18*Self(n-1)-104*Self(n-2)+192*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 02 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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