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A130857 a(n) = (n-1)*n*(n+1)*(n+2)*(2n+11)/120. 0
0, 3, 17, 57, 147, 322, 630, 1134, 1914, 3069, 4719, 7007, 10101, 14196, 19516, 26316, 34884, 45543, 58653, 74613, 93863, 116886, 144210, 176410, 214110, 257985, 308763, 367227, 434217, 510632, 597432, 695640, 806344, 930699, 1069929 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The motivation for this sequence is the triple sum Sum[Sum[Sum[k^2-1,{k,1,m}],{m,1,j}],{j,1,n}], which can be simplified into the polynomial term given as definition.

LINKS

Table of n, a(n) for n=1..35.

FORMULA

G.f.: -x^2*(x-3)/(-1+x)^6. - R. J. Mathar, Nov 14 2007

MATHEMATICA

Table[(n - 1)*n(n + 1)*(n + 2)*(2*n + 11)/120, {n, 1, 35}]

Times@@#*(2#[[2]]+11)/120&/@Partition[Range[0, 40], 4, 1] (* Harvey P. Dale, Oct 28 2012 *)

CROSSREFS

Cf. A117662.

Sequence in context: A033562 A212415 A152457 * A226719 A168547 A208996

Adjacent sequences:  A130854 A130855 A130856 * A130858 A130859 A130860

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Jul 22 2007

EXTENSIONS

Edited and extended by N. J. A. Sloane, Jul 26 2007

STATUS

approved

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Last modified June 19 00:04 EDT 2021. Contains 345125 sequences. (Running on oeis4.)