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A168116
a(n) = n*(n^8+1)/2.
4
0, 1, 257, 9843, 131074, 976565, 5038851, 20176807, 67108868, 193710249, 500000005, 1178973851, 2579890182, 5302249693, 10330523399, 19221679695, 34359738376, 59293938257, 99179645193, 161343848899, 256000000010, 397140023301, 603634608907
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
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
MATHEMATICA
Table[n*(n^8 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 13 2016 *)
PROG
(Magma) [n*(n^8+1)/2: n in [0..25]]; // Vincenzo Librandi, Jul 14 2016
CROSSREFS
Sequence in context: A023877 A301552 A279641 * A086022 A125649 A219549
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved