%I #9 Sep 12 2018 12:46:00
%S 1,1,2,9,22,175,1296,6349,92380,699129,5852260,87508531,983847624,
%T 10043843407,127510899894,2403074951775,28335761555896,
%U 350566973798425,6858698972065020,119828351275275331,1832442717444626440,25146644024861932671,596930762527062348022
%N "BGJ" (reversible, element, labeled) transform of 1,2,3,4...
%H Andrew Howroyd, <a href="/A032054/b032054.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 + polcoeff(p,1)),y,1)/2 | p <- Vec(y-1+serlaplace(prod(k=1, n, (1 + x^k*y/k! + O(x*x^n))^k)))] \\ _Andrew Howroyd_, Sep 12 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 12 2018