A170787 a(n) = n^9*(n^5 + 1)/2.

0, 1, 8448, 2401326, 134348800, 3052734375, 39187120896, 339131713228, 2199090364416, 11438589937725, 50000500000000, 189876095765466, 641961812164608, 1968693495099331, 5556013743302400, 14596482234375000

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (15, -105, 455, -1365, 3003, -5005, 6435, -6435, 5005, -3003, 1365, -455, 105, -15, 1).

Formula

G.f.: (x + 8433*x^2 + 2274711*x^3 + 99215495*x^4 + 1285799130*x^5 + 6421654458*x^6 + 13985750814*x^7 + 13985425278*x^8 + 6421608405*x^9 + 1285943045*x^10 + 99195291*x^11 + 2262603*x^12 + 7936*x^13)/(1-x)^15. - G. C. Greubel, Dec 06 2017

Mathematica

Table[n^9*(n^5 + 1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)

Prog

(Magma) [n^9*(n^5+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^9*(n^5+1)/2, ", ")) \\ G. C. Greubel, Dec 06 2017

Crossrefs

Sequence in context: A253147 A046336 A046384 * A237846 A232907 A151643

Adjacent sequences: A170784 A170785 A170786 * A170788 A170789 A170790

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved