A168153 a(n) = n^2*(n^9 + 1)/2.

0, 1, 1026, 88578, 2097160, 24414075, 181398546, 988663396, 4294967328, 15690529845, 50000000050, 142655835366, 371504185416, 896080197103, 2024782584930, 4324877929800, 8796093022336, 17135948153961, 32134205039778, 58245129449290, 102400000000200

Offset: 0

Author

N. J. A. Sloane, Dec 11 2009

Keywords

• nonn
• easy

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Programs

Magma

[n^2*(n^9+1)/2: n in [0..25]]; // Vincenzo Librandi, Jul 15 2016

Mathematica

Table[n^2*(n^9 + 1)/2, {n,0,50}] (* G. C. Greubel, Jul 15 2016 *)

Formula

G.f.: x*(1 + 1014*x + 76332*x^2 + 1101720*x^3 + 4869078*x^4 + 7862124*x^5 + 4869036*x^6 + 1101768*x^7 + 76305*x^8 + 1022*x^9)/(1-x)^12. - Vincenzo Librandi, Jul 15 2016