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A025031
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Expansion of 1/((1-x)(1-9x)(1-10x)(1-12x)).
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0
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1, 32, 675, 11830, 186641, 2752932, 38765455, 527869010, 7009691181, 91304772832, 1171464693035, 14850954198990, 186462962442121, 2322930268904732, 28754646814361415, 354082225170989770
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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)=32, a(2)=675, a(3)=11830, a(n)=32*a(n-1)- 349*a(n-2)+ 1398*a(n-3)-1080*a(n-4) [From Harvey P. Dale, Jul 26 2011]
a(n) = (12^(n+4) - 44*10^(n+3) + 33*9^(n+3) - 1)/792. [Yahia Kahloune, Jul 02 2013]
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-9x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{32, -349, 1398, -1080}, {1, 32, 675, 11830}, 30] (* Harvey P. Dale, Jul 26 2011 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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