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Search: id:A130857
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| A130857 |
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a(n) = (n-1)*n*(n+1)*(n+2)*(2n+11)/120. |
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+0
1
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| 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
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OFFSET
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1,2
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COMMENT
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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.
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FORMULA
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G.f.: -x^2*(x-3)/(-1+x)^6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
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MATHEMATICA
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Table[(n - 1)*n(n + 1)*(n + 2)*(2*n + 11)/120, {n, 1, 35}]
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CROSSREFS
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Cf. A117662.
Sequence in context: A018691 A093418 A033562 this_sequence A120386 A061982 A101562
Adjacent sequences: A130854 A130855 A130856 this_sequence A130858 A130859 A130860
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KEYWORD
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nonn
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AUTHOR
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Roger L Bagula (rlbagulatftn(AT)yahoo.com), Jul 22 2007
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EXTENSIONS
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Edited and extended by njas, Jul 26 2007
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