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A132876 Row sums of triangle A132875. 4
1, 3, 19, 325, 14901, 1411351, 223776799, 52688209225, 17130298919113, 7323137676211051, 3972640827080209131, 2661629172268654009357, 2155803992009267730762685, 2074551529984316346123045887 (list; graph; refs; listen; history; text; internal format)
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 * A229832 A219270 A071381

Adjacent sequences:  A132873 A132874 A132875 * A132877 A132878 A132879

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 29 2007

STATUS

approved

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Last modified September 18 12:35 EDT 2021. Contains 347527 sequences. (Running on oeis4.)