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%I #9 Sep 13 2018 14:38:36
%S 1,1,3,10,43,247,1926,19414,236328,3323205,52705090,929220616,
%T 18022413696,381329741071,8740799344746,215767673761410,
%U 5706697328974816,160994864601428425,4825786965074938818,153160879869533780812,5131078453592054013360,180944693884489748335731
%N "DIJ" (bracelet, indistinct, labeled) transform of 1,2,3,4,...
%H Andrew Howroyd, <a href="/A032269/b032269.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.: 1 + (g(x) + g(x)^2/2 - log(1-g(x)))/2 where g(x) = x*exp(x). - _Andrew Howroyd_, Sep 12 2018
%o (PARI) seq(n)={my(p=x*exp(x + O(x^n))); Vec(1 + serlaplace(p + p^2/2 - log(1-p))/2)} \\ _Andrew Howroyd_, Sep 12 2018
%K nonn
%O 0,3
%A _Christian G. Bower_
%E a(0)=1 prepended and terms a(19) and beyond from _Andrew Howroyd_, Sep 12 2018
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