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A168116
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a(n) = n*(n^8+1)/2.
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4
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0, 1, 257, 9843, 131074, 976565, 5038851, 20176807, 67108868, 193710249, 500000005, 1178973851, 2579890182, 5302249693, 10330523399, 19221679695, 34359738376, 59293938257, 99179645193, 161343848899, 256000000010, 397140023301, 603634608907
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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 (10,-45,120,-210,252,-210,120,-45,10,-1).
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FORMULA
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G.f.: x*(1 + 247*x + 7318*x^2 + 44089*x^3 + 78130*x^4 + 44089*x^5 + 7318*x^6 + 247*x^7 + x^8)/(1 - x)^10. - R. J. Mathar, Oct 13 2011
a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10). - Wesley Ivan Hurt, Jun 26 2022
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MATHEMATICA
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Table[n*(n^8 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 13 2016 *)
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PROG
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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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