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Column 2 of triangle A111553.
1

%I #3 Mar 30 2012 18:36:50

%S 1,3,16,116,1016,10176,113216,1375456,18047296,253815936,3805221376,

%T 60558070016,1019617312256,18111737604096,338602832961536,

%U 6648048064792576,136810876329865216,2945671077411987456

%N Column 2 of triangle A111553.

%o (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+3)!/3!*x^i)),m-j-1))))^-1)[n+3,3])}

%Y Cf. A111553, A111531.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 07 2005