%I #8 Sep 13 2018 18:34:08
%S 1,1,2,15,40,345,2586,12691,184752,1398249,11704510,175017051,
%T 1967695236,20087686801,255021799774,4806149903535,56671523111776,
%U 701133947596833,13717397944130022,239656702550550643,3664885434889252860,50293288049723865321,1193861525054124696022
%N "AGJ" (ordered, elements, labeled) transform of 1,2,3,4,...
%H Andrew Howroyd, <a href="/A032016/b032016.txt">Table of n, a(n) for n = 0..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%o (PARI) seq(n)=[subst(serlaplace(y^0*p),y,1) | p <- Vec(serlaplace(prod(k=1, n, (1 + x^k*y/k! + O(x*x^n))^k)))] \\ _Andrew Howroyd_, Sep 13 2018
%K nonn
%O 0,3
%A _Christian G. Bower_
%E a(0)=1 prepended and terms a(20) and beyond from _Andrew Howroyd_, Sep 13 2018