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%I #17 Sep 25 2019 07:47:58
%S 1,1,6,57,750,12645,260190,6322365,177181830,5625873225,199608636150,
%T 7826601269025,336070622037150,15684327120386925,790493799998652750,
%U 42790196611446409125,2475921578709979149750,152499324058939789556625,9961887269457311273835750,687922376268803482237055625
%N Number of labeled series-reduced dyslexic planted planar trees (root unlabeled) with n leaves.
%H Andrew Howroyd, <a href="/A032119/b032119.txt">Table of n, a(n) for n = 1..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%H Cassandra Durell, Stefan Forcey, <a href="https://arxiv.org/abs/1905.09160">Level-1 Phylogenetic Networks and their Balanced Minimum Evolution Polytopes</a>, arXiv:1905.09160 [math.CO], 2019.
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F Doubles (index 2+) under "BIJ" (reversible, indistinct, labeled) transform.
%F E.g.f.: series reversion of x*(2 - 3*x)/(2*(1-x)). - _Andrew Howroyd_, Sep 19 2018
%t m = 21; egf = InverseSeries[x(2 - 3x)/(2(1-x)) + O[x]^m];
%t CoefficientList[egf, x]*Range[0, m-1]! // Rest (* _Jean-François Alcover_, Sep 25 2019 *)
%o (PARI) Vec(serlaplace(serreverse(x*(2 - 3*x)/(2*(1-x)) + O(x^20)))) \\ _Andrew Howroyd_, Sep 19 2018
%K nonn,eigen
%O 1,3
%A _Christian G. Bower_
%E Terms a(18) and beyond from _Andrew Howroyd_, Sep 19 2018