login
A168662
a(n) = n^7*(n^5 + 1)/2.
1
0, 1, 2112, 266814, 8396800, 122109375, 1088531136, 6921055372, 34360786944, 141217159725, 500005000000, 1569223931946, 4458068140032, 11649073935499, 28347008894400, 64873254375000, 140737622573056, 291311323784217
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
FORMULA
From G. C. Greubel, Jul 28 2016: (Start)
G.f.: x*(1 + 2099*x + 239436*x^2 + 5092668*x^3 + 33159150*x^4 + 81259650*x^5 + 81252636*x^6 + 33159324*x^7 + 5095017*x^8 + 238835*x^9 + 1984*x^10)/(1-x)^13.
E.g.f.: (1/2)*x*(2 + 2110*x + 86827*x^2 + 611851*x^3 + 1379540*x^4 + 1323673*x^5 + 627397*x^6 + 159027*x^7 + 22275*x^8 + 1705*x^9 + 66*x^10 + x^11)*exp(x). (End)
MATHEMATICA
Table[n^7 (n^5+1)/2, {n, 0, 20}] (* Harvey P. Dale, May 17 2016 *)
PROG
(Magma) [n^7*(n^5+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011
(PARI) a(n)=n^7*(n^5+1)/2 \\ Charles R Greathouse IV, Jul 29 2016
CROSSREFS
Sequence in context: A256518 A046334 A046382 * A107528 A246808 A217439
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved