A132876 Row sums of triangle A132875.

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.

Links

Table of n, a(n) for n=0..13.

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

Cf. A132875, A132877, A132878, A132879.

Sequence in context: A102586 A326902 A346840 * A357956 A229832 A219270

Adjacent sequences: A132873 A132874 A132875 * A132877 A132878 A132879

Keyword

nonn

Author

Paul D. Hanna, Sep 29 2007

Status

approved