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A132877
Column 0 of triangle A132875.
4
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.
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
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Sep 29 2007
STATUS
approved