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A174487 Column 1 of triangle A174485. 4
1, 2, 16, 308, 11048, 639972, 54671188, 6471586298, 1014487323984, 203492881479464, 50842872702666524, 15484223252089602342, 5646860009850046968472, 2429577079632942917710580 (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=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: A188985 A009250 A335618 * A140051 A264658 A223675

Adjacent sequences:  A174484 A174485 A174486 * A174488 A174489 A174490

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Apr 18 2010

STATUS

approved

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Last modified November 28 20:58 EST 2021. Contains 349415 sequences. (Running on oeis4.)