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A020980
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Expansion of 1/((1-8*x)*(1-10*x)*(1-12*x)).
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1
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1, 30, 604, 10200, 156016, 2241120, 30844864, 411749760, 5373888256, 68949788160, 873102490624, 10942870149120, 136039563882496, 1680275743334400, 20645716733968384, 252607863319265280
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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+2) - 2*10^(n+2) + 8^(n+2))/8. - Yahia Kahloune, Jun 30 2013
a(0)=1, a(1)=30, a(2)=604; for n>2, a(n) = 30*a(n-1) -296*a(n-2) +960*a(n-3). - Vincenzo Librandi, Jul 05 2013
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MATHEMATICA
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CoefficientList[Series[1 / ((1 - 8 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x] (* Harvey P. Dale, Mar 23 2011 *)
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PROG
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(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-8*x)*(1-10*x)*(1-12*x)))); /* or */ I:=[1, 30, 604]; [n le 3 select I[n] else 30*Self(n-1)-296*Self(n-2)+960*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 05 2013
(PARI) x='x+O('x^30); Vec(1/((1-8*x)*(1-10*x)*(1-12*x))) \\ G. C. Greubel, Feb 09 2018
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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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