A168123 a(n) = n^2*(n^5+1)/2.

0, 1, 66, 1098, 8200, 39075, 139986, 411796, 1048608, 2391525, 5000050, 9743646, 17915976, 31374343, 52706850, 85429800, 134217856, 205169481, 306110178, 446936050, 640000200, 900544491, 1247179186, 1702412988, 2293236000

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

G.f.: x*(1+58*x+598*x^2+1208*x^3+593*x^4+62*x^5)/(1-x)^8. - Colin Barker, Sep 18 2012

Mathematica

Table[(n^2*(n^5 + 1)/2), {n, 0, 40}] (* Vincenzo Librandi, Sep 18 2012  *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 66, 1098, 8200, 39075, 139986, 411796}, 30] (* Harvey P. Dale, Jun 12 2022 *)

Prog

(Magma) [n^2*(n^5 + 1)/2: n in [0..30]]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A228996 A196789 A284283 * A240004 A231287 A263522

Adjacent sequences: A168120 A168121 A168122 * A168124 A168125 A168126

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved