A168471 a(n) = n^5*(n^9 + 1)/2.

0, 1, 8208, 2391606, 134218240, 3051759375, 39182085936, 339111544828, 2199023271936, 11438396257005, 50000000050000, 189874916872146, 641959232398848, 1968688193035291, 5556003413047920, 14596463013075000

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 (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003,1365,-455,105,-15,1).

Crossrefs

Cf. A168351.

Programs

Magma

[n^5*(n^9+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011

Mathematica

Table[n^5*(n^9 + 1)/2, {n,0,30}] (* G. C. Greubel, Jul 23 2016 *)

SageMath

def A168471(n): return n^5*(n^9+1)//2
print([A168471(n) for n in range(31)]) # G. C. Greubel, Mar 20 2025

Formula

G.f.: x* (1 + 8193*x + 2268591*x^2 + 99205535*x^3 + 1285871130*x^4 + 6421630698*x^5 + 13985589534*x^6 + 13985586558*x^7 + 6421632165*x^8 + 1285871045*x^9 + 99205251*x^10 + 2268723*x^11 + 8176*x^12)/(1 - x)^15. - Vincenzo Librandi, Jul 24 2016