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A168633 a(n) = n^6*(n^9 + 1)/2. 1
0, 1, 16416, 7174818, 536872960, 15258796875, 235092515616, 2373780813796, 17592186175488, 102945566313045, 500000000500000, 2088624085593606, 7703510788786176, 25592946509458783, 77784047782670880 (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 (16,-120,560,-1820,4368,-8008,11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).

FORMULA

From G. C. Greubel, Jul 27 2016: (Start)

G.f.: x*(1 + 16400*x + 6912282*x^2 + 424045232*x^3 + 7520616535*x^4 + 51388495488*x^5 + 155693803020*x^6 + 223769408736*x^7 + 155693795391*x^8 + 51388503440*x^9 + 7520612986*x^10 + 424045680*x^11 + 6912457*x^12 + 16352*x^13)/(1 - x)^16.

E.g.f.: (1/2)*x*(2 + 16414*x + 2375191*x^2 + 42356015*x^3 + 210766935*x^4 + 420693274*x^5 + 408741333*x^6 + 216627840*x^7 + 67128490*x^8 + 12662650*x^9 + 1479478*x^10 + 106470*x^11 + 4550*x^12 + 105*x^13 + x^14). (End)

MATHEMATICA

Table[n^6*(n^9 + 1)/2, {n, 0, 25}] (* G. C. Greubel, Jul 27 2016 *)

PROG

(MAGMA) [n^6*(n^9+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011

(PARI) a(n)=n^6*(n^9+1)/2 \\ Charles R Greathouse IV, Jul 28 2016

CROSSREFS

Sequence in context: A031673 A168507 A045037 * A122714 A133533 A250844

Adjacent sequences:  A168630 A168631 A168632 * A168634 A168635 A168636

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 11 2009

STATUS

approved

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Last modified December 9 03:27 EST 2019. Contains 329872 sequences. (Running on oeis4.)