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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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: A196896 A210312 A125502 * A117810 A236871 A300194

Adjacent sequences:  A168628 A168629 A168630 * A168632 A168633 A168634

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 11 2009

STATUS

approved

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Last modified November 15 01:25 EST 2019. Contains 329143 sequences. (Running on oeis4.)