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Row sums of triangle A111553.
1

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

%S 1,2,9,60,509,5034,55689,674624,8838189,124199454,1861297049,

%T 29618273604,498716980989,8860512190034,165694162575369,

%U 3254269731689064,66994569450549869,1443024570035017254

%N Row sums of triangle A111553.

%o (PARI) {a(n)=if(n<0,0,sum(k=1,n+1,(matrix(n+k,n+k,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+1,k]))}

%Y Cf. A111553.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 07 2005