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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
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
Sequence in context: A362734 A009250 A335618 * A140051 A264658 A223675
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 18 2010
STATUS
approved

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Last modified February 29 08:54 EST 2024. Contains 370418 sequences. (Running on oeis4.)