A108532 - OEIS

%I #9 Jun 20 2018 16:36:58

%S 1,2,4,12,38,136,490,1852,7108,27880,110892,447060,1821252,7489732,

%T 31045350,129587996,544228664,2298008824,9750218012,41548438040,

%U 177740526076,763046178960,3286318131646,14195239150556,61481540391722

%N Number of asymmetric mobiles (cycle rooted trees) with n nodes and 2-colored internal (non-leaf) nodes.

%H Andrew Howroyd, <a href="/A108532/b108532.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Mo#mobiles">Index entries for sequences related to mobiles</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%F Shifts left and halves under CHK transform.

%o (PARI)

%o CHK(p,n)={sum(d=1, n, moebius(d)/d*log(subst(1/(1+O(x*x^(n\d))-p), x, x^d)))}

%o seq(n)={my(p=O(1));for(i=1, n, p=1+2*CHK(x*p, i)); Vec(p)} \\ _Andrew Howroyd_, Jun 20 2018

%Y Cf. A032171, A108530, A108531.

%K nonn,eigen

%O 1,2

%A _Christian G. Bower_, Jun 07 2005