A170783 a(n) = n^9*(n + 1)/2.

0, 1, 768, 39366, 655360, 5859375, 35271936, 161414428, 603979776, 1937102445, 5500000000, 14147686146, 33538572288, 74231495611, 154957850880, 307546875000, 584115552256, 1067290888473, 1884413258496, 3226876977790

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 (11,-55,165,-330,462,-462,330,-165, 55,-11,1).

Programs

Magma

[n^9*(n+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011

Mathematica

Table[n^9*(n+1)/2, {n,0,30}] (* G. C. Greubel, Dec 05 2017 *)

PARI

for(n=0, 30, print1(n^9*(n+1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017

Formula

G.f.: (x + 757*x^2 + 30973*x^3 + 264409*x^4 + 689155*x^5 + 621199*x^6 + 190783*x^7 + 16867*x^8 + 256*x^9)/(1-x)^11. - G. C. Greubel, Dec 05 2017

a(n) = 11*a(n-1)-55*a(n-2)+165*a(n-3)-330*a(n-4)+462*a(n-5)-462*a(n-6)+330*a(n-7)-165*a(n-8)+55*a(n-9)-11*a(n-10)+a(n-11). - Wesley Ivan Hurt, Apr 11 2022