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 A125807 #3 Mar 30 2012 18:37:02
%S A125807 1,3,16,119,1070,10762,116546,1330923,15823388,194168612,2444224858,
%T A125807 31422225930,411141476444,5460849893348,73474839110524,
%U A125807 999764999592077,13738614091375204,190450074950481408,2660727794475865450
%N A125807 Central terms of odd-indexed rows of triangle A125806: a(n) = A125806(2n+1,n).
%C A125807 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 A125807 (PARI) {a(n)=local(C_q=if(n==0,1,prod(j=n+2,2*n+1,1-q^j)/prod(j=1,n,1-q^j))); sum(i=0,(n+1)*n,polcoeff(C_q,i)^2)}
%Y A125807 Cf. A125806 (triangle); A063075; A125808, A125809 (row sums).
%K A125807 nonn
%O A125807 0,2
%A A125807 _Paul D. Hanna_, Dec 12 2006