%I #9 Sep 13 2018 03:04:20
%S 1,1,3,8,15,40,99,236,646,1584,4081,10349,25912,64722,160286,397687,
%T 966020,2371653,5743454,13810783,33249279,79400369,188904792,
%U 446408824,1054545693,2475898367,5787434089,13484174982
%N "BGK" (reversible, element, unlabeled) transform of 1,3,5,7,...
%H Andrew Howroyd, <a href="/A032064/b032064.txt">Table of n, a(n) for n = 0..500</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+prod(k=1, n, (1 + x^k*y + O(x*x^n))^(2*k-1)))] \\ _Andrew Howroyd_, Sep 13 2018
%K nonn
%O 0,3
%A _Christian G. Bower_
%E a(0)=1 prepended by _Andrew Howroyd_, Sep 13 2018