A168345 a(n) = n^4*(n^9 + 1)/2.

0, 1, 4104, 797202, 33554560, 610351875, 6530347656, 48444506404, 274877908992, 1270932917445, 5000000005000, 17261356079286, 53496602699904, 151437553310407, 396857386646280, 973097534205000, 2251799813718016

Offset

0,3

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).

Formula

G.f.: x*(1 + 4090*x + 739837*x^2 + 22766832*x^3 + 211640562*x4 + 752810940*x^5 + 1137586002*x^6 + 752810568*x^7 + 211640973*x^8 + 22766618*x^9 + 739889*x^10 + 4088*x^11)/(1 - x)^14. - Ilya Gutkovskiy, Jul 19 2016

Mathematica

Table[ n^4*(n^9 + 1)/2 , {n, 0, 50}] (* G. C. Greubel, Jul 18 2016 *)
LinearRecurrence[{14, -91, 364, -1001, 2002, -3003, 3432, -3003, 2002, -1001, 364, -91, 14, -1}, {0, 1, 4104, 797202, 33554560, 610351875, 6530347656, 48444506404, 274877908992, 1270932917445, 5000000005000, 17261356079286, 53496602699904, 151437553310407}, 50] (* Harvey P. Dale, May 12 2018 *)

Prog

(Magma) [n^4*(n^9+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011
(PARI) a(n)=n^4*(n^9+1)/2 \\ Charles R Greathouse IV, Jul 19 2016

Crossrefs

Sequence in context: A346347 A227915 A371602 * A255158 A077188 A077190

Adjacent sequences: A168342 A168343 A168344 * A168346 A168347 A168348

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved