A132878 Column 1 of triangle A132875.

1, 6, 72, 2240, 157200, 20017032, 3986643136, 1133413590528, 433294691800320, 213579235442893760, 131576955596091312384, 98894873879740831706112, 88957131079138422705160192, 94267354032238753666544536320

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)/[(n+1)*(n+2)/2] = A132879(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]}

Crossrefs

Cf. A132875, A132876, A132877, A132879.

Sequence in context: A009793 A259212 A279234 * A006585 A166472 A182917

Adjacent sequences: A132875 A132876 A132877 * A132879 A132880 A132881

Keyword

nonn

Author

Paul D. Hanna, Sep 29 2007

Status

approved