A174486 Column 0 of triangle A174485.

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

Offset: 0

Author

Paul D. Hanna, Apr 18 2010

Keywords

• nonn

Comments

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

Crossrefs

Cf. A174480, A174485, A174487, A174488, A174489.

Programs

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]}