A168632 a(n) = n^6*(n^8 + 1)/2.

0, 1, 8224, 2391849, 134219776, 3051765625, 39182105376, 339111595249, 2199023386624, 11438396493201, 50000000500000, 189874917677401, 641959233767424, 1968688195263049, 5556003416543776, 14596463018390625

Offset

0,3

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).

Formula

From G. C. Greubel, Jul 27 2016: (Start)

G.f.: x*(1 + 8209*x + 2268594*x^2 + 99205106*x^3 + 1285872575*x^4 + 6421628943*x^5 + 13985589372*x^6 + 13985589372*x^7 + 6421628943*x^8 + 1285872575*x^9 + 99205106*x^10 + 2268594*x^11 + 8209*x^12 + x^13)/(1 - x)^15.

E.g.f.: (1/2)*x*(2 + 8222*x + 789060*x^2 + 10391810*x^3 + 40075050*x^4 + 63436374*x^5 + 49329280*x^6 + 20912320*x^7 + 5135130*x^8 + 752752*x^9 + 66066*x^10 + 3367*x^11 + 91*x^12 + x^13)*exp(x). (End)

Mathematica

Table[n^6(n^8+1)/2, {n, 0, 30}] (* Harvey P. Dale, Aug 06 2012 *)

Prog

(Magma) [n^6*(n^8+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011
(PARI) a(n)=n^6*(n^8+1)/2 \\ Charles R Greathouse IV, Jul 28 2016

Crossrefs

Sequence in context: A168471 A031844 A210008 * A230043 A045056 A221482

Adjacent sequences: A168629 A168630 A168631 * A168633 A168634 A168635

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved