A168660 a(n) = n^7*(n^3 + 1)/2.

0, 1, 576, 30618, 532480, 4921875, 30373056, 141649396, 537919488, 1745783685, 5005000000, 12978455886, 30976598016, 68960620183, 144680034240, 288410625000, 549890031616, 1008202119561, 1785539723328, 3065980064770

Offset

0,3

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).

Formula

From G. C. Greubel, Jul 28 2016: (Start)

G.f.: x*(1 + 565*x + 24337*x^2 + 227197*x^3 + 653875*x^4 + 656479*x^5 + 227995*x^6 + 23503*x^7 + 448*x^8)/(1 - x)^11.

E.g.f.: (1/2)*x*(2 + 574*x + 9631*x^2 + 34455*x^3 + 42665*x^4 + 22848*x^5 + 5881*x^6 + 750*x^7 + 45*x^8 + x^9)*exp(x). (End)

Mathematica

Table[n^7*(n^3 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 28 2016 *)

Prog

(Magma) [n^7*(n^3+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011
(PARI) a(n)=n^7*(n^3+1)/2 \\ Charles R Greathouse IV, Jul 29 2016

Crossrefs

Sequence in context: A268638 A230522 A223301 * A268903 A373454 A249688

Adjacent sequences: A168657 A168658 A168659 * A168661 A168662 A168663

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved