0,2

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

a(n)/[(n+1)*(n+2)/2] = A132879(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]}

Cf. A132875, A132876, A132877, A132879.

Sequence in context: A120331 A009523 A009793 this_sequence A006585 A008562 A041063

Adjacent sequences: A132875 A132876 A132877 this_sequence A132879 A132880 A132881

nonn

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