A168179 a(n) = n^3*(n^4 + 1)/2.

0, 1, 68, 1107, 8224, 39125, 140076, 411943, 1048832, 2391849, 5000500, 9744251, 17916768, 31375357, 52708124, 85431375, 134219776, 205171793, 306112932, 446939299, 640004000, 900548901, 1247184268, 1702418807, 2293242624

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..480

Formula

G.f.: x*(1+60*x+591*x^2+1216*x^3+591*x^4+60*x^5+x^6)/(1-x)^8. - Vincenzo Librandi, Jul 15 2016

Mathematica

Table[n^3*(n^4 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 15 2016 *)
CoefficientList[Series[x (1 + 60 x + 591 x^2 + 1216 x^3 + 591 x^4 + 60 x^5 + x^6) /(1-x)^8, {x, 0, 33}], x] (* Vincenzo Librandi, Jul 15 2016 *)

Prog

(Magma) [n^3*(n^4+1)/2: n in [0..50]]; // Vincenzo Librandi, Apr 25 2011

Crossrefs

Sequence in context: A264316 A251939 A163728 * A283575 A231060 A245875

Adjacent sequences: A168176 A168177 A168178 * A168180 A168181 A168182

Keyword

nonn

Author

N. J. A. Sloane, Dec 11 2009

Status

approved