cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A130857 a(n) = (n-1)*n*(n+1)*(n+2)*(2n+11)/120.

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%I A130857 #8 Oct 28 2012 12:00:05
%S A130857 0,3,17,57,147,322,630,1134,1914,3069,4719,7007,10101,14196,19516,
%T A130857 26316,34884,45543,58653,74613,93863,116886,144210,176410,214110,
%U A130857 257985,308763,367227,434217,510632,597432,695640,806344,930699,1069929
%N A130857 a(n) = (n-1)*n*(n+1)*(n+2)*(2n+11)/120.
%C A130857 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.
%F A130857 G.f.: -x^2*(x-3)/(-1+x)^6. - _R. J. Mathar_, Nov 14 2007
%t A130857 Table[(n - 1)*n(n + 1)*(n + 2)*(2*n + 11)/120, {n, 1, 35}]
%t A130857 Times@@#*(2#[[2]]+11)/120&/@Partition[Range[0,40],4,1] (* _Harvey P. Dale_, Oct 28 2012 *)
%Y A130857 Cf. A117662.
%K A130857 nonn
%O A130857 1,2
%A A130857 _Roger L. Bagula_, Jul 22 2007
%E A130857 Edited and extended by _N. J. A. Sloane_, Jul 26 2007