login
A132876
Row sums of triangle A132875.
4
1, 3, 19, 325, 14901, 1411351, 223776799, 52688209225, 17130298919113, 7323137676211051, 3972640827080209131, 2661629172268654009357, 2155803992009267730762685, 2074551529984316346123045887
OFFSET
0,2
COMMENTS
Triangle T=A132875 obeys: the g.f. of row n of T^n = (y + n*(n+1))^n for n>=0.
PROG
(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])}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Sep 29 2007
STATUS
approved