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%I #4 Mar 30 2012 18:36:50
%S 1,5,34,282,2696,28792,337072,4273632,58195072,846038912,13072140032,
%T 213897731712,3695682017792,67254929193472,1286282280266752,
%U 25802708552696832,541894309127053312,11894387852938452992
%N Column 4 of triangle A111553; also found in column 0 of triangle A111560, which equals the matrix logarithm of A111553.
%F a(n) = A111553(n+4, 4) = A111560(n+1, 0).
%o (PARI) {a(n)=if(n<0,0,(matrix(n+5,n+5,m,j,if(m==j,1,if(m==j+1,-m+1, -(m-j-1)*polcoeff(log(sum(i=0,m,(i+3)!/3!*x^i)),m-j-1))))^-1)[n+5,5])}
%Y Cf. A111553, A111560.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Aug 07 2005