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A028209
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Expansion of 1/((1-6x)(1-7x)(1-11x)(1-12x)).
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0
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1, 36, 823, 15282, 251881, 3847032, 55777051, 779149134, 10588135261, 140901434388, 1844713666159, 23841089487306, 304926682591441, 3866889746187504, 48692419436767747, 609526612369569798
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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) = 23*a(n-1) - 132*a(n-2) + 7^(n+1) - 6^(n+1), n >= 2. - Vincenzo Librandi, Mar 13 2011
a(n) = -6^(n+2)/5 - 11^(n+3)/20 + 2*12^(n+2)/5 + 7^(n+3)/20. - R. J. Mathar, Mar 18 2011
a(n) = 36*a(n-1) - 473*a(n-2) + 2682*a(n-3) - 5544*a(n-4); a(0)=1, a(1)=36, a(2)=823, a(3)=15282. - Harvey P. Dale, Apr 09 2015
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MATHEMATICA
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CoefficientList[Series[1/((1-6x)(1-7x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -473, 2682, -5544}, {1, 36, 823, 15282}, 30] (* Harvey P. Dale, Apr 09 2015 *)
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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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