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A168631
a(n) = n^6*(n^7 + 1)/2.
1
0, 1, 4128, 797526, 33556480, 610359375, 6530370336, 48444564028, 274878038016, 1270933179885, 5000000500000, 17261356957746, 53496604182528, 151437555709531, 396857390391840, 973097539875000, 2251799822073856
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
From G. C. Greubel, Jul 27 2016: (Start)
G.f.: x*(1 + 4114*x + 739825*x^2 + 22766400*x^3 + 211641930*x^4 + 752809428*x^5 + 1137586002*x^6 + 752812080*x^7 + 211639605*x^8 + 22767050*x^9 + 739901*x^10 + 4064*x^11)/(1 - x)^14.
E.g.f.: (1/2)*x*(2 + 4126*x + 261715*x^2 + 2532595*x^3 + 7508516*x^4 + 9321313*x^5 + 5715424*x^6 + 1899612*x^7 + 359502*x^8 + 39325*x^9 + 2431*x^10 + 78*x^11 + x^12)*exp(x). (End)
MATHEMATICA
Table[n^6*(n^7 + 1)/2 , {n, 0, 25}] (* G. C. Greubel, Jul 27 2016 *)
PROG
(Magma) [n^6*(n^7+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011
(PARI) a(n)=n^6*(n^7+1)/2 \\ Charles R Greathouse IV, Jul 28 2016
CROSSREFS
Sequence in context: A125502 A361413 A339798 * A117810 A236871 A300194
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved