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A170789 a(n) = n^9*(n^7 + 1)/2. 1
0, 1, 33024, 21533202, 2147614720, 76294921875, 1410559992576, 16616485461604, 140737555464192, 926510288136165, 5000000500000000, 22974866110759926, 92442132027408384, 332708309893839607, 1088976679235208960 (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 (17,-136,680,-2380,6188,-12376,19448,-24310,24310,-19448,12376,-6188,2380,-680,136,-17,1).

FORMULA

G.f.: (x + 33007*x^2 + 20971930*x^3 + 1786040870*x^4 + 42691533167*x^5 +

391057936193*x^6 + 1603741633836*x^7 + 3191398997460*x^8 + 3191399928015*x^9 + 1603741544321*x^10 + 391057582106*x^11 + 42691705382*x^12 + 1786044385*x^13 + 20960815*x^14 + 32512*x^15)/(1-x)^17. - G. C. Greubel, Dec 06 2017

MATHEMATICA

Table[n^9*(n^7+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)

LinearRecurrence[{17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1}, {0, 1, 33024, 21533202, 2147614720, 76294921875, 1410559992576, 16616485461604, 140737555464192, 926510288136165, 5000000500000000, 22974866110759926, 92442132027408384, 332708309893839607, 1088976679235208960, 3284204197078125000, 9223372071214514176}, 20] (* Harvey P. Dale, Nov 21 2020 *)

PROG

(Magma) [n^9*(n^7+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011

(PARI) for(n=0, 30, print1(n^9*(n^7+1)/2, ", ")) \\ G. C. Greubel, Dec 06 2017

CROSSREFS

Sequence in context: A251407 A132992 A153748 * A237625 A237624 A118278

Adjacent sequences:  A170786 A170787 A170788 * A170790 A170791 A170792

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 11 2009

STATUS

approved

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Last modified September 29 12:57 EDT 2022. Contains 357090 sequences. (Running on oeis4.)