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 A105848 #3 Mar 30 2012 18:59:07 %S A105848 1,2,1,5,3,1,14,9,4,1,42,29,14,5,1,132,99,50,20,6,1,429,351,186,78,27, %T A105848 7,1,1430,1275,714,311,114,35,8,1,4862,4707,2796,1271,483,159,44,9,1, %U A105848 16796,17577,11082,5282,2082,712,214,54,10,1,58786,66197,44250,22160 %N A105848 Binomial transform of number triangle A105632. %C A105848 Product of binomial matrix C(n,k) and A105632. Row sums are A105849. %F A105848 Column k has g.f. (sum{j=0..k-1, C(k-1, j)C(j)x^(2j)/(1-4x)^(j+1/2)}+0^k*(1-2x-sqrt(1-4x))/(2x^2))(x/(1-x))^k %e A105848 Triangle begins %e A105848 1; %e A105848 2,1; %e A105848 5,3,1; %e A105848 14,9,4,1; %e A105848 42,29,14,5,1; %e A105848 132,99,50,20,6,1; %K A105848 easy,nonn,tabl %O A105848 0,2 %A A105848 _Paul Barry_, Apr 22 2005