A168634 a(n) = n^6*(n^10 + 1)/2.

0, 1, 32800, 21523725, 2147485696, 76293953125, 1410554977056, 16616465343625, 140737488486400, 926510094691641, 5000000000500000, 22974864932671861, 92442129449011200, 332708304594003325, 1088976668908450336

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (17,-136,680,-2380,6188,-12376,19448,-24310,24310,-19448,12376,-6188,2380,-680,136,-17,1).

Formula

From G. C. Greubel, Jul 27 2016: (Start)

G.f.: x*(1 + 32783*x + 20966261*x^2 + 1786042491*x^3 + 42691621273*x^4 + 391057753399*x^5 + 1603741596869*x^6 + 3191399458923*x^7 + 3191399458923*x^8 + 1603741596869*x^9 + 391057753399*x^10 + 42691621273*x^11 + 1786042491*x^12 + 20966261*x^13 + 32783*x^14 + x^15)/(1 - x)^17.

E.g.f.: (1/2)*x*(2 + 32798*x + 7141776*x^2 + 171798966*x^3 + 1096190565*x^4 + 2734926559*x^5 + 3281882604*x^6 + 2141764053*x^7 + 820784250*x^8 + 193754990*x^9 + 28936908*x^10 + 2757118*x^11 + 165620*x^12 + 6020*x^13 + 120*x^14 + x^15). (End)

Mathematica

Table[n^6*(n^10 + 1)/2, {n, 0, 25}] (* G. C. Greubel, Jul 27 2016 *)

Prog

(Magma)[n^6*(n^10+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011
(PARI) a(n)=n^6*(n^10+1)/2 \\ Charles R Greathouse IV, Jul 28 2016

Crossrefs

Sequence in context: A036093 A217357 A083603 * A045061 A183889 A272892

Adjacent sequences: A168631 A168632 A168633 * A168635 A168636 A168637

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved