OFFSET
0,3
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..200
C. G. Bower, Transforms (2)
FORMULA
E.g.f.: Product_{m>0} (1+x^m/(m-1)!). - Vladeta Jovovic, Nov 26 2002
E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^(k+1)*x^(j*k)/(k*((j - 1)!)^k)). - Ilya Gutkovskiy, Sep 13 2018
MATHEMATICA
mmax = 25;
egf = Product[1 + x^m/(m - 1)!, {m, 1, mmax}] + O[x]^mmax;
CoefficientList[egf, x] * Range[0, mmax - 1]! (* Jean-François Alcover, Sep 23 2019 *)
PROG
(PARI) seq(n)={Vec(serlaplace(prod(k=1, n, 1 + k*x^k/k! + O(x*x^n))))} \\ Andrew Howroyd, Sep 11 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(0)=1 prepended and terms a(23) and beyond from Andrew Howroyd, Sep 11 2018
STATUS
approved