A174488 Column 2 of triangle A174485.

1, 3, 33, 810, 35325, 2408568, 236624733, 31654735416, 5532363865977, 1223887080470256, 334272773792556369, 110467177430468340408, 43442224822360939240629, 20048090531903711663566248

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=2)=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, A174489.

Sequence in context: A009690 A229513 A210833 * A289695 A371683 A124432

Adjacent sequences: A174485 A174486 A174487 * A174489 A174490 A174491

Keyword

nonn

Author

Paul D. Hanna, Apr 18 2010

Status

approved