A170782 a(n) = n^8*(n^10 + 1)/2.

0, 1, 131200, 193713525, 34359771136, 1907348828125, 50779979174016, 814206801837625, 9007199263129600, 75047317670022921, 500000000050000000, 2779958656853295181, 13311666640657612800, 56227703476386561925

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (19, -171, 969, -3876, 11628, -27132, 50388, -75582, 92378, -92378, 75582, -50388, 27132, -11628, 3876, -969, 171, -19, 1).

Formula

G.f.: (x + 131181*x^2 + 191220896*x^3 + 30701648392*x^4 + 1287511060392* x^5 + 20228672417744*x^6 + 142998536966344*x^7 + 503354984240784*x^8 + 932692828746266*x^9 + 932692828746266*x^10 + 503354984240784 x^11 + 142998536966344*x^12 + 20228672417744*x^13 + 1287511060392*x^14 + 30701648392*x^15 + 191220896*x^16 + 131181*x^17 + x^18)/(1-x)^19. - G. C. Greubel, Dec 05 2017

Mathematica

Table[n^8*(n^10 + 1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 05 2017 *)

Prog

(Magma)[n^8*(n^10+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^8*(n^10 + 1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017

Crossrefs

Sequence in context: A214290 A187939 A234687 * A237004 A170791 A203892

Adjacent sequences: A170779 A170780 A170781 * A170783 A170784 A170785

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved