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A168527 a(n) = n^6*(n^2 + 1)/2. 1
0, 1, 160, 3645, 34816, 203125, 863136, 2941225, 8519680, 21789081, 50500000, 108065221, 216483840, 410278765, 741659296, 1287140625, 2155872256, 3499947505, 5526986400, 8515304461, 12832000000, 18954312741, 27494626720, 39229510585, 55133208576 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

FORMULA

G.f.: (x + 151*x^2 + 2241*x^3 + 7687*x^4 + 7687*x^5 + 2241*x^6 + 151*x^7 + x^8)/(1 - x)^9. - G. C. Greubel, Jul 25 2016

MATHEMATICA

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

LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 1, 160, 3645, 34816, 203125, 863136, 2941225, 8519680}, 30] (* Harvey P. Dale, May 10 2018 *)

PROG

(MAGMA) [n^6*(n^2 + 1)/2: n in [0..30]]; // Vincenzo Librandi, Jul 25 2016

CROSSREFS

Sequence in context: A214354 A188306 A189351 * A185492 A233909 A035825

Adjacent sequences:  A168524 A168525 A168526 * A168528 A168529 A168530

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 11 2009

STATUS

approved

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Last modified May 12 03:53 EDT 2021. Contains 343810 sequences. (Running on oeis4.)