A170793 a(n) = n^10*(n + 1)/2.

0, 1, 1536, 118098, 2621440, 29296875, 211631616, 1129900996, 4831838208, 17433922005, 55000000000, 155624547606, 402462867456, 965009442943, 2169409912320, 4613203125000, 9345848836096, 18143945104041

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 (12,-66,220,-495,792,-924,792,-495, 220,-66,12,-1).

Programs

Magma

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

Mathematica

Table[n^10*(n+1)/2, {n,0,30}] (* G. C. Greubel, Dec 06 2017 *)
LinearRecurrence[{12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{0,1,1536,118098,2621440,29296875,211631616,1129900996,4831838208,17433922005,55000000000,155624547606},20] (* Harvey P. Dale, Dec 06 2018 *)

PARI

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

Formula

G.f.: (x + 1524*x^2 + 99732*x^3 + 1305420*x^4 + 5296638*x^5 + 7862124*x^6 + 4441476*x^7 + 898068*x^8 + 52905*x^9 + 512*x^10)/(1-x)^12. - G. C. Greubel, Dec 06 2017