0,3

Triangle T=A132870 obeys: the g.f. of row n of T^n = (y + n^2)^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)^2)^(#M), c-1)))); L=sum(i=1, #M, -(M^0-M)^i/i); M=sum(i=0, #M, (L/#N)^i/i!); ); M[n+1, 1]}

Cf. A132870, A132871, A132873.

Sequence in context: A137037 A101131 A009688 this_sequence A015503 A003373 A129047

Adjacent sequences: A132869 A132870 A132871 this_sequence A132873 A132874 A132875

nonn

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