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 A111538 #4 Mar 30 2012 18:36:50
%S A111538 1,3,14,84,600,4908,44952,454344,5016768,60062352,775089312,
%T A111538 10728930912,158638465536,2496437377728,41674737264000,
%U A111538 735831528563328,13704461848753152,268562085051533568,5525005742876244480
%N A111538 Column 2 of triangle A111536; also equals column 0 of triangle A111541, which is the matrix log of triangle A111536.
%F A111538 a(n) = A111536(n+2, 2) = A111541(n+1, 0).
%o A111538 (PARI) {a(n)=if(n<0,0,(matrix(n+3,n+3,m,j,if(m==j,1,if(m==j+1,-m+1, -(m-j-1)*polcoeff(log(sum(i=0,m,(i+1)!/1!*x^i)),m-j-1))))^-1)[n+3,3])}
%Y A111538 Cf. A111536, A111541.
%K A111538 nonn
%O A111538 0,2
%A A111538 _Paul D. Hanna_, Aug 06 2005