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A020341
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Expansion of 1/((1-5x)(1-7x)(1-12x)).
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3
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1, 24, 397, 5652, 74665, 946992, 11736613, 143526444, 1741517569, 21034565640, 253379036989, 3047347017156, 36615998359513, 439728040092768, 5279095003079125, 63365680208288988, 760504096286734897
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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) = 5^(n+2)/14 -7^(n+2)/10 +12^(n+2)/35. - R. J. Mathar, Mar 15 2011
a(0)=1, a(1)=24, a(2)=397, a(n)=24*a(n-1)-179*a(n-2)+420*a(n-3). [Harvey P. Dale, Dec 10 2011]
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MATHEMATICA
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CoefficientList[Series[1/((1-5x)(1-7x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -179, 420}, {1, 24, 397}, 30] (* Harvey P. Dale, Dec 10 2011 *)
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PROG
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(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-5*x)*(1-7*x)*(1-12*x)))); /* or */ I:=[1, 24, 397]; [n le 3 select I[n] else 24*Self(n-1)-179*Self(n-2)+420*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 03 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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