%I #9 Sep 13 2018 14:38:49
%S 1,1,4,15,75,481,4155,47021,647759,10328977,185812755,3715936789,
%T 81749718039,1961990821913,51011755028507,1428329124503581,
%U 42849873694048287,1371195958107799585,46620662575416672291,1678343852714400808997,63777066403145801007143
%N "DIJ" (bracelet, indistinct, labeled) transform of 1,3,5,7,...
%H Andrew Howroyd, <a href="/A032270/b032270.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) = 1 + (2*x-1)*exp(x). - _Andrew Howroyd_, Sep 12 2018
%o (PARI) seq(n)={my(p=1+(2*x-1)*exp(x + O(x*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