A170793 a(n) = n^10*(n + 1)/2.

0, 1, 1536, 118098, 2621440, 29296875, 211631616, 1129900996, 4831838208, 17433922005, 55000000000, 155624547606, 402462867456, 965009442943, 2169409912320, 4613203125000, 9345848836096, 18143945104041

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495, 220,-66,12,-1).

Formula

G.f.: (x + 1524*x^2 + 99732*x^3 + 1305420*x^4 + 5296638*x^5 + 7862124*x^6 + 4441476*x^7 + 898068*x^8 + 52905*x^9 + 512*x^10)/(1-x)^12. - G. C. Greubel, Dec 06 2017

Mathematica

Table[n^10*(n+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)
LinearRecurrence[{12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1}, {0, 1, 1536, 118098, 2621440, 29296875, 211631616, 1129900996, 4831838208, 17433922005, 55000000000, 155624547606}, 20] (* Harvey P. Dale, Dec 06 2018 *)

Prog

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

Crossrefs

Sequence in context: A229507 A203981 A188788 * A224068 A223245 A231320

Adjacent sequences: A170790 A170791 A170792 * A170794 A170795 A170796

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved