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%I #2 Mar 31 2012 20:25:45
%S 1,3,19,325,14901,1411351,223776799,52688209225,17130298919113,
%T 7323137676211051,3972640827080209131,2661629172268654009357,
%U 2155803992009267730762685,2074551529984316346123045887
%N Row sums of triangle A132875.
%C Triangle T=A132875 obeys: the g.f. of row n of T^n = (y + n*(n+1))^n for n>=0.
%o (PARI) {a(n)=local(M=Mat(1),N,L);for(i=1,n,N=M; M=matrix(#N+1,#N+1,r,c,if(r>=c,if(r<=#N,(N^(#N))[r,c], polcoeff((x+(#M)*(#M+1))^(#M),c-1)))); L=sum(i=1,#M,-(M^0-M)^i/i);M=sum(i=0,#M,(L/#N)^i/i!);); sum(k=0,n,M[n+1,k+1])}
%Y Cf. A132875, A132877, A132878, A132879.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Sep 29 2007
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