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A170777
a(n) = n^8*(n^5 + 1)/2.
1
0, 1, 4224, 800442, 33587200, 610546875, 6531186816, 48447387604, 274886295552, 1270954437525, 5000050000000, 17261463251406, 53496817680384, 151437961161487, 396858124521600, 973098815625000, 2251801961168896
OFFSET
0,3
LINKS
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 +4210*x^2 + 741397*x^3 + 22765032*x^4 + 211629762*x^5 + 752831100*x^6 + 1137586002*x^7 + 752790408*x^8 + 211651773*x^9 + 22768418*x^10 + 738329*x^11 + 3968*x^12)/(1-x)^14. - G. C. Greubel, Dec 05 2017
MATHEMATICA
Table[(n^8 (n^5+1))/2, {n, 0, 30}] (* or *) LinearRecurrence[{14, -91, 364, -1001, 2002, -3003, 3432, -3003, 2002, -1001, 364, -91, 14, 1}, {0, 1, 4224, 800442, 33587200, 610546875, 6531186816, 48447387604, 274886295552, 1270954437525, 5000050000000, 17261463251406, 53496817680384, 151437961161487}, 30] (* Harvey P. Dale, Jul 03 2017 *)
PROG
(Magma) [n^8*(n^5+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^8*(n^5+1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017
CROSSREFS
Sequence in context: A046335 A046383 A188789 * A364183 A344243 A344244
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved