0,2

Triangle T=A132875 obeys: the g.f. of row n of T^n = (y + n*(n+1))^n for n>=0.

(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])}

Cf. A132875, A132877, A132878, A132879.

Adjacent sequences: A132873 A132874 A132875 this_sequence A132877 A132878 A132879

Sequence in context: A115705 A136171 A102586 this_sequence A071381 A041951 A143762

nonn

Paul D Hanna (pauldhanna(AT)juno.com), Sep 29 2007