A132879 a(n) = A132878(n)/[(n+1)*(n+2)/2] for n>=0, where A132878 is column 1 of triangle A132870.

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.

Links

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

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

Cf. A132875, A132876, A132877, A132878.

Sequence in context: A092124 A009525 A009683 * A377642 A348332 A101712

Adjacent sequences: A132876 A132877 A132878 * A132880 A132881 A132882

Keyword

nonn

Author

Paul D. Hanna, Sep 29 2007

Status

approved