login
A132879
a(n) = A132878(n)/[(n+1)*(n+2)/2] for n>=0, where A132878 is column 1 of triangle A132870.
4
1, 2, 12, 224, 10480, 953192, 142380112, 31483710848, 9628770928896, 3883258826234432, 1993590236304413824, 1267882998458215791104, 977550890979543106650112, 897784324116559558728995584
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, 0; 1, 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+2, 2]*2/(n+1)/(n+2)}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Sep 29 2007
STATUS
approved