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A168660
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a(n) = n^7*(n^3 + 1)/2.
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1
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0, 1, 576, 30618, 532480, 4921875, 30373056, 141649396, 537919488, 1745783685, 5005000000, 12978455886, 30976598016, 68960620183, 144680034240, 288410625000, 549890031616, 1008202119561, 1785539723328, 3065980064770
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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G.f.: x*(1 + 565*x + 24337*x^2 + 227197*x^3 + 653875*x^4 + 656479*x^5 + 227995*x^6 + 23503*x^7 + 448*x^8)/(1 - x)^11.
E.g.f.: (1/2)*x*(2 + 574*x + 9631*x^2 + 34455*x^3 + 42665*x^4 + 22848*x^5 + 5881*x^6 + 750*x^7 + 45*x^8 + x^9)*exp(x). (End)
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MATHEMATICA
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Table[n^7*(n^3 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 28 2016 *)
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PROG
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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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