A174487 Column 1 of triangle A174485.

1, 2, 16, 308, 11048, 639972, 54671188, 6471586298, 1014487323984, 203492881479464, 50842872702666524, 15484223252089602342, 5646860009850046968472, 2429577079632942917710580

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=1)=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, A174488, A174489.

Sequence in context: A362734 A009250 A335618 * A140051 A264658 A223675

Adjacent sequences: A174484 A174485 A174486 * A174488 A174489 A174490

Keyword

nonn

Author

Paul D. Hanna, Apr 18 2010

Status

approved