A170781 a(n) = n^8*(n^9 + 1)/2.

0, 1, 65664, 64573362, 8589967360, 381469921875, 8463330562176, 116315259876004, 1125899915231232, 8338590871356645, 50000000050000000, 252723514356826326, 1109305553585209344, 4325207960098534327

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (18,-153,816,-3060,8568,-18564, 31824,-43758,48620,-43758,31824,-18564,8568,-3060,816,-153,18,-1).

Formula

G.f.: x*(65408*x^15 + 63389457*x^14 + 7437706830*x^13 + 236676646043*x^12 + 2858645937996*x^11 + 15527826613305*x^10 + 41568611448626*x^9 + 57445190329275*x^8 + 41568611736744*x^7 + 15527826335083*x^6 + 2858646034386*x^5 + 236676655017*x^4 + 7437692620*x^3 + 63391563*x^2 + 65646*x + 1) / (1-x)^18. - Colin Barker, Nov 24 2012

Mathematica

Table[n^8(n^9+1)/2, {n, 0, 20}] (* Harvey P. Dale, Oct 24 2011 *)

Prog

(Magma) [n^8*(n^9+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^8*(n^9+1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017

Crossrefs

Sequence in context: A254918 A268912 A168667 * A063825 A253043 A170790

Adjacent sequences: A170778 A170779 A170780 * A170782 A170783 A170784

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved