A174486 Column 0 of triangle A174485.

1, 1, 5, 70, 1973, 94216, 6851197, 706335064, 98105431657, 17669939141440, 4006704580744601, 1117139031649249984, 375701872315954792093, 149988716080978525265776, 70129434038848683974552365

Offset

0,3

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..14.

Prog

(PARI) {a(n, k=0)=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, A174487, A174488, A174489.

Sequence in context: A280574 A302910 A370576 * A135438 A015502 A303291

Adjacent sequences: A174483 A174484 A174485 * A174487 A174488 A174489

Keyword

nonn

Author

Paul D. Hanna, Apr 18 2010

Status

approved