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.

A132614 Column 1 of triangle A132610 divided by row index less one.

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%I A132614 #2 Mar 30 2012 18:37:04
%S A132614 1,2,13,162,3093,80540,2669415,107660354,5120654779,280715282502,
%T A132614 17430145081600,1209171149737470,92693370560208210,
%U A132614 7781500380680157240,710001855526865191083,69962579484461463387330
%N A132614 Column 1 of triangle A132610 divided by row index less one.
%C A132614 Triangle T=A132610 is generated by even matrix powers of itself such that row n+1 of T = row n of T^(2n) with appended '1' for n>=0 with T(0,0)=1.
%F A132614 a(n) = A132610(n+1,1)/n = A132612(n)/n for n>=1.
%o A132614 (PARI) {a(n)=local(A=vector(n+2), p); A[1]=1; if(n<1,0,for(j=1, n-1, p=n^2-(n-j)^2; A=Vec((Polrev(A)+x*O(x^p))/(1-x))); A=Vec((Polrev(A)+x*O(x^p))/(1-x)); A[p+1]/n)}
%Y A132614 Cf. A132610 (triangle); columns: A132611, A132612, A132613.
%K A132614 nonn
%O A132614 1,2
%A A132614 _Paul D. Hanna_, Aug 23 2007