OFFSET
0,3
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..400
C. G. Bower, Transforms (2)
FORMULA
E.g.f.: Product_{n>=1} (1 + x^n/n!)^n. - Paul D. Hanna, Nov 29 2010
E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^(k+1)*j*x^(j*k)/(k*(j!)^k)). - Ilya Gutkovskiy, Sep 12 2018
PROG
(PARI) {a(n)=n!*polcoeff(-1+prod(k=1, n, (1+x^k/k!+x*O(x^n))^k), n)} \\ Paul D. Hanna, Nov 29 2010
(PARI) seq(n)={Vec(serlaplace(prod(k=1, n, (1 + x^k/k! + O(x*x^n))^k)))} \\ Andrew Howroyd, Sep 13 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(0)=1 prepended and terms a(21) and beyond from Andrew Howroyd, Sep 13 2018
STATUS
approved