A170795 a(n) = n^10*(n^3 + 1)/2.

0, 1, 4608, 826686, 34078720, 615234375, 6560580096, 48585742828, 275414777856, 1272676306365, 5005000000000, 17274324784266, 53527561371648, 151506482542051, 397002013954560, 973385859375000, 2252349569499136

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 (14,-91,364,-1001,2002,-3003,3432, -3003,2002,-1001,364,-91,14,-1).

Programs

Magma

[n^10*(n^3+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011

Mathematica

Table[n^10*(n^3+1)/2, {n,0,30}] (* G. C. Greubel, Dec 06 2017 *)

PARI

for(n=0,30, print1(n^10*(n^3+1)/2, ", ")) \\ G. C. Greubel, Dec 06 2017

Formula

G.f.: (x + 4594*x^2 + 762265*x^3 + 22924080*x^4 + 211684410*x^5 + 752159268*x^6 + 1137586002*x^7 + 753462240*x^8 + 211597125*x^9 + 22609370*x^10 + 717461*x^11 + 3584*x^12)/(1-x)^14. - G. C. Greubel, Dec 06 2017