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A163276 a(n) = n^6*(n+1)^2/2. 4
0, 2, 288, 5832, 51200, 281250, 1143072, 3764768, 10616832, 26572050, 60500000, 127552392, 252315648, 473027282, 847072800, 1458000000, 2424307712, 3910286178, 6139206432, 9409176200, 14112000000, 20755401282, 29988984608 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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.: 2*x*(1+135*x+1656*x^2+4456*x^3+3231*x^4+585*x^5+16*x^6)/(1-x)^9. - Colin Barker, May 05 2012

MAPLE

seq((1/2)*n^6*(n+1)^2, n = 0 .. 25); # Emeric Deutsch, Aug 01 2009

MATHEMATICA

Table[(1/2)*n^6*(n + 1)^2, {n, 0, 50}] (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 2, 288, 5832, 51200, 281250, 1143072, 3764768, 10616832}, 50] (* G. C. Greubel, Dec 12 2016 *)

PROG

(PARI) concat([0], Vec(2*x*(1 + 135*x +1656*x^2 +4456*x^3 +3231*x^4 +585*x^5 +16*x^6)/(1-x)^9 + O(x^50))) \\ G. C. Greubel, Dec 12 2016

(MAGMA) [n^6*(n+1)^2/2: n in [0..30]]; // Vincenzo Librandi, Dec 13 2016

CROSSREFS

Cf. A006002, A099903, A163102, A163274, A163275, A163277.

Sequence in context: A307470 A182519 A279450 * A065498 A296591 A296607

Adjacent sequences:  A163273 A163274 A163275 * A163277 A163278 A163279

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Jul 24 2009

EXTENSIONS

Extended by Emeric Deutsch, Aug 01 2009

STATUS

approved

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Last modified July 30 17:21 EDT 2021. Contains 346359 sequences. (Running on oeis4.)