%I #10 Aug 30 2018 15:21:36
%S 1,1,2,4,9,21,55,146,413,1194,3553,10756,33134,103273,325484,1034734,
%T 3314870,10688513,34662777,112976023,369876832,1215811262,4010932603,
%U 13275356936,44070010202,146698487202,489550622528,1637472527602,5488829461525,18435194140301
%N Number of dyslexic rooted planar trees with n nodes.
%H Andrew Howroyd, <a href="/A032129/b032129.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 "DIK" (bracelet, indistinct, unlabeled) transform of A032128 (shifted right one place).
%o (PARI)
%o BIK(p)={(1/(1-p) + (1+p)/subst(1-p, x, x^2))/2}
%o DIK(p,n)={(sum(d=1, n, eulerphi(d)/d*log(subst(1/(1+O(x*x^(n\d))-p), x, x^d))) + ((1+p)^2/(1-subst(p, x, x^2))-1)/2)/2}
%o seq(n)={my(p=O(1));for(i=1, n-1, p=BIK(x*p)); Vec(1+DIK(x*p, n))} \\ _Andrew Howroyd_, Aug 30 2018
%Y Cf. A032128.
%K nonn
%O 1,3
%A _Christian G. Bower_
%E Terms a(28) and beyond from _Andrew Howroyd_, Aug 30 2018