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, 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]*2/(n+1)/(n+2)}

Cf. A132875, A132876, A132877, A132878.

Sequence in context: A092124 A009525 A009683 this_sequence A101712 A009272 A013141

Adjacent sequences: A132876 A132877 A132878 this_sequence A132880 A132881 A132882

nonn

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