%I #8 Sep 11 2018 16:02:13
%S 1,3,9,36,165,768,4212,24573,146949,994608,6824064,49026783,382079820,
%T 3012960603,24957495705,216087717621,1931094309909,17705427261168,
%U 169400058948720,1679587464655155,16724057142118920,174698022293109813,1876447876721132955
%N "EGJ" (unordered, element, labeled) transform of 3,3,3,3...
%H Andrew Howroyd, <a href="/A032314/b032314.txt">Table of n, a(n) for n = 0..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%F E.g.f: Product_{k > 0} (1 + x^k/k!)^3. - _Andrew Howroyd_, Sep 11 2018
%o (PARI) seq(n)={Vec(serlaplace(prod(k=1, n, (1 + x^k/k! + O(x*x^n))^3)))} \\ _Andrew Howroyd_, Sep 11 2018
%K nonn
%O 0,2
%A _Christian G. Bower_
%E a(0)=1 prepended and terms a(20) and beyond from _Andrew Howroyd_, Sep 11 2018