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A028148
Expansion of 1/((1-4x)(1-7x)(1-8x)(1-12x)).
0
1, 31, 617, 10079, 147609, 2022447, 26547529, 338695423, 4238709497, 52353238223, 640806363561, 7794824571807, 94411354501465, 1140149916014959, 13741090450747913, 165378493289389631
OFFSET
0,2
FORMULA
a(0)=1, a(1)=31, a(2)=617, a(3)=10079, a(n)=31*a(n-1)-344*a(n-2)+ 1616*a(n-3)-2688*a(n-4) [Harvey P. Dale, Nov 20 2011]
a(n)=(3*12^(n+3)-30*8^(n+3)+32*7^(n+3)-5*4^(n+3))/480. [Yahia Kahloune, May 29 2013].
MATHEMATICA
CoefficientList[Series[1/((1-4x)(1-7x)(1-8x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{31, -344, 1616, -2688}, {1, 31, 617, 10079}, 20] (* Harvey P. Dale, Nov 20 2011 *)
CROSSREFS
Sequence in context: A028173 A301769 A028142 * A028100 A242517 A028141
KEYWORD
nonn
AUTHOR
STATUS
approved