0,2

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!); ); sum(k=0, n, M[n+1, k+1])}

Cf. A132870 (triangle), columns: A132872, A132873.

Sequence in context: A124836 A013104 A007984 this_sequence A140314 A092730 A051663

Adjacent sequences: A132868 A132869 A132870 this_sequence A132872 A132873 A132874

nonn

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