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A168364 a(n) = n^5*(n^2 + 1)/2. 2
0, 1, 80, 1215, 8704, 40625, 143856, 420175, 1064960, 2421009, 5050000, 9824111, 18040320, 31559905, 52975664, 85809375, 134742016, 205879265, 307054800, 448173919, 641600000, 902586321, 1249755760, 1705630895, 2297217024 (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 (8, -28, 56, -70, 56, -28, 8, -1).

FORMULA

G.f.: x*(1 + 72*x + 603*x^2 + 1168*x^3 + 603*x^4 + 72*x^5 + x^6)/(1-x)^8. - Harvey P. Dale, Apr 22 2011

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - G. C. Greubel, Jul 19 2016

MATHEMATICA

Table[n^5(n^2+1)/2, {n, 0, 25}]  (* Harvey P. Dale, Apr 22 2011 *)

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 80, 1215, 8704, 40625, 143856, 420175}, 50] (* G. C. Greubel, Jul 19 2016 *)

PROG

(MAGMA) [n^5*(n^2+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 28 2011

CROSSREFS

Sequence in context: A223251 A251427 A275701 * A296353 A126861 A038727

Adjacent sequences:  A168361 A168362 A168363 * A168365 A168366 A168367

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 11 2009

STATUS

approved

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Last modified August 4 09:03 EDT 2020. Contains 336201 sequences. (Running on oeis4.)