A170775 a(n) = n^8*(n^3 + 1)/2.

0, 1, 1152, 91854, 2129920, 24609375, 182238336, 991545772, 4303355904, 15712053165, 50050000000, 142763014746, 371719176192, 896488062379, 2025520479360, 4326159375000, 8798240505856, 17139436032537

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

G.f.: (x*(x*(x*(x*(x*(x*(x*(x*(x*(896*x+74541)+1100004)+4878360)+ 7862124)+ 4859754)+1103484)+78096)+1140)+1))/(x-1)^12. - Harvey P. Dale, Oct 25 2011

Mathematica

Table[(n^8 (n^3+1))/2, {n, 0, 20}] (* Harvey P. Dale, Oct 25 2011 *)

Prog

(Magma) [n^8*(n^3+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^8*(n^3+1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017

Crossrefs

Sequence in context: A229590 A269216 A339926 * A350691 A166490 A035761

Adjacent sequences: A170772 A170773 A170774 * A170776 A170777 A170778

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved