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A316458
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Expansion of 60*x*(1 + 4*x + x^2) / (1 - x)^5.
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4
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60, 540, 2160, 6000, 13500, 26460, 47040, 77760, 121500, 181500, 261360, 365040, 496860, 661500, 864000, 1109760, 1404540, 1754460, 2166000, 2646000, 3201660, 3840540, 4570560, 5400000, 6337500, 7392060, 8573040, 9890160, 11353500, 12973500, 14760960
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OFFSET
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1,1
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COMMENTS
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Seems to be the negative of the second column of A316349.
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LINKS
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FORMULA
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G.f.: 60*x*(1 + 4*x + x^2) / (1 - x)^5.
a(n) = 15*n^4 + 30*n^3 + 15*n^2.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>5.
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PROG
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(PARI) Vec(60*x*(1 + 4*x + x^2) / (1 - x)^5 + O(x^40))
(PARI) a(n) = 15*n^4 + 30*n^3 + 15*n^2
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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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