A170794 a(n) = n^10*(n^2 + 1)/2.

0, 1, 2560, 295245, 8912896, 126953125, 1118624256, 7061881225, 34896609280, 142958160441, 505000000000, 1582182900661, 4489008906240, 11717971807165, 28491583515136, 65161494140625, 141287244169216, 292319115565105

Offset: 0

Author

N. J. A. Sloane, Dec 11 2009

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716, -1287,715,-286,78,-13,1).

Programs

Magma

[n^10*(n^2+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011

Mathematica

Table[n^10*(n^2+1)/2, {n,0,30}] (* G. C. Greubel, Dec 06 2017 *)

PARI

for(n=0,30, print1(n^10*(n^2+1)/2, ", ")) \\ G. C. Greubel, Dec 30 2017

Formula

G.f.: (x + 2547*x^2 + 262043*x^3 + 5274105*x^4 + 33383142*x^5 + 80828562*x^6 + 80828562*x^7 + 33383142*x^8 + 5274105*x^9 + 262043*x^10 + 2547*x^11 + x^12)/(1-x)^13. - G. C. Greubel, Dec 06 2017