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A028126
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Expansion of 1/((1-4x)(1-5x)(1-9x)(1-12x)).
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0
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1, 30, 583, 9372, 135949, 1854282, 24319171, 310765224, 3901290217, 48373167414, 594541806079, 7261303210356, 88278005955205, 1069623213421026, 12928092282515707, 155970779176282368
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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) = 30*a(n-1) - 317*a(n-2) + 1392*a(n-3) - 2160*a(n-4), n >= 4.
a(n) = 21*a(n-1) - 108*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)
a(n) = -2*4^(n+1)/5 - 3*9^(n+2)/20 + 6*12^(n+1)/7 + 5^(n+3)/28. - R. J. Mathar, Mar 18 2011
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MATHEMATICA
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CoefficientList[Series[1/((1-4x)(1-5x)(1-9x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{30, -317, 1392, -2160}, {1, 30, 583, 9372}, 20] (* Harvey P. Dale, Dec 04 2018 *)
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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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