%I #11 Sep 20 2018 16:31:30
%S 2,1,2,7,22,85,344,1408,5914,25394,110818,488688,2178594,9797950,
%T 44406134,202591861,929716110,4288808485,19876422076,92501558277,
%U 432109230664,2025444499805,9523528005822,44906724639089
%N Number of series-reduced dyslexic planted planar trees with n leaves of 2 colors where any 2 subtrees extending from the same node are different.
%H Andrew Howroyd, <a href="/A032068/b032068.txt">Table of n, a(n) for n = 1..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F Doubles (index 2+) under "BGK" (reversible, element, unlabeled) transform.
%o (PARI)
%o BGK(v)={apply(p->subst(serlaplace(y^0*p + polcoeff(p,1)),y,1)/2, Vec(prod(k=1, #v, (1 + x^k*y + O(x*x^#v))^v[k])-1, -#v))}
%o seq(n)={my(v=[2]); for(i=2, n, v=concat(v, BGK(concat(v,[0]))[i])); v} \\ _Andrew Howroyd_, Sep 20 2018
%K nonn
%O 1,1
%A _Christian G. Bower_