A132877 Column 0 of triangle A132875.

1, 2, 12, 240, 12400, 1242720, 202721064, 48537596352, 15957585674496, 6876698410667520, 3753254881686618880, 2526792466623639379968, 2054649298830229608019968, 1983702201237461333545885696

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.

Formula

a(n) is divisible by (n+1).

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!); ); M[n+1, 1]}

Crossrefs

Cf. A132875, A132876, A132878, A132879.

Sequence in context: A119700 A141083 A257665 * A007685 A132987 A366350

Adjacent sequences: A132874 A132875 A132876 * A132878 A132879 A132880

Keyword

nonn

Author

Paul D. Hanna, Sep 29 2007

Status

approved