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A174488 Column 2 of triangle A174485. 4
1, 3, 33, 810, 35325, 2408568, 236624733, 31654735416, 5532363865977, 1223887080470256, 334272773792556369, 110467177430468340408, 43442224822360939240629, 20048090531903711663566248 (list; graph; refs; listen; history; text; internal format)
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 A124432 A234715

Adjacent sequences:  A174485 A174486 A174487 * A174489 A174490 A174491

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Apr 18 2010

STATUS

approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)