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.
%I A125808 #3 Mar 30 2012 18:37:02
%S A125808 1,4,29,256,2592,28160,322873,3850352,47369432,597565304,7695966346,
%T A125808 100852014156,1341310032320,18067954497864,246098396499471,
%U A125808 3384883529933828,46960152641672616,656538880287562528
%N A125808 Adjacent-to-central terms of even-indexed rows of triangle A125806: a(n) = A125806(2n+2,n).
%C A125808 Central terms of even-indexed rows of triangle A125806 equal A063075 (number of partitions of 2n^2 whose Ferrers-plot fits within a 2n X 2n box and cover an n X n box).
%o A125808 (PARI) {a(n)=local(C_q=if(n==0,1,prod(j=n+3,2*n+2,1-q^j)/prod(j=1,n,1-q^j))); sum(i=0,(n+2)*n,polcoeff(C_q,i)^2)}
%Y A125808 Cf. A125806 (triangle); A063075; A125807, A125809 (row sums).
%K A125808 nonn
%O A125808 0,2
%A A125808 _Paul D. Hanna_, Dec 12 2006