A170792 a(n) = n^9*(n^10 + 1)/2.

0, 1, 262400, 581140575, 137439084544, 9536744140625, 304679875044096, 5699447612863375, 72057594105036800, 675425859030206289, 5000000000500000000, 30579545225386246991, 159739999687891353600

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (20,-190,1140,-4845,15504,-38760, 77520,-125970,167960,-184756,167960,-125970,77520,-38760,15504,-4845, 1140,-190,20,-1).

Formula

G.f.: (x + 262380*x^2 + 575892765*x^3 + 125866127904*x^4 + 6898080027840*x^5 + 139397189351952*x^6 + 1263962500195080*x^7 + 5742822317522400*x^8 + 13931140285365018*x^9 + 18653856574925320*x^10 + 13931140285365018*x^11 + 5742822317522400*x^12 + 1263962500195080*x^13 + 139397189351952*x^14 + 6898080027840*x^15 + 125866127904*x^16 + 575892765*x^17 + 262380*x^18 + x^19)/(1-x)^20. - G. C. Greubel, Dec 06 2017

Mathematica

Table[n^9*(n^10+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)

Prog

(Magma)[n^9*(n^10+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^9*(n^10+1)/2, ", ")) \\ G. C. Greubel, Dec 06 2017

Crossrefs

Sequence in context: A017699 A013966 A036096 * A170801 A340907 A253846

Adjacent sequences: A170789 A170790 A170791 * A170793 A170794 A170795

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved