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%I #2 Mar 31 2012 20:25:45
%S 1,6,72,2240,157200,20017032,3986643136,1133413590528,433294691800320,
%T 213579235442893760,131576955596091312384,98894873879740831706112,
%U 88957131079138422705160192,94267354032238753666544536320
%N Column 1 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.
%F a(n)/[(n+1)*(n+2)/2] = A132879(n) for n>=0.
%o (PARI) {a(n)=local(M=Mat([1,0;1,1]),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!);); M[n+2,2]}
%Y Cf. A132875, A132876, A132877, A132879.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Sep 29 2007