A174489 Column 3 of triangle A174485.

1, 4, 56, 1672, 85904, 6741544, 749040472, 111786940612, 21558649749088, 5215883627856592, 1546429233541304456, 551278120123210461436, 232603216443181020788944, 114634034948809175011787176

Offset

0,2

Comments

Triangular matrix described by A174485 transforms diagonals of the array A174480 of coefficients of successive iterations of x*exp(x).

Links

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

Prog

(PARI) {a(n, k=3)=local(F=x, xEx=x*exp(x+x*O(x^(n+k+1))), M, N, P, m=n+k); M=matrix(m+2, m+2, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, xEx)); polcoeff(F, c)); N=matrix(m+1, m+1, r, c, M[r, c]); P=matrix(m+1, m+1, r, c, M[r+1, c]); n!*(P~*N~^-1)[n+k+1, k+1]}

Crossrefs

Cf. A174480, A174485, A174486, A174487, A174488.

Sequence in context: A009536 A009558 A113583 * A009563 A261747 A111849

Adjacent sequences: A174486 A174487 A174488 * A174490 A174491 A174492

Keyword

nonn

Author

Paul D. Hanna, Apr 18 2010

Status

approved