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Number of compound rooted windmills with n nodes where any 2 submills extending from the same node are of different sizes.
1

%I #12 Sep 20 2018 15:17:19

%S 1,1,1,2,3,6,13,28,60,135,316,731,1735,4133,9937,24133,58820,144227,

%T 355966,881868,2192529,5479166,13717843,34474835,86848986,219454215,

%U 555371300,1409893698,3583579216,9130512970,23294809707

%N Number of compound rooted windmills with n nodes where any 2 submills extending from the same node are of different sizes.

%H Andrew Howroyd, <a href="/A032143/b032143.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>

%F Shifts left under "CFK" (necklace, size, unlabeled) transform

%o (PARI)

%o CFK(v)={apply(p->subst(serlaplace(p/y),y,1), Vec(-1+prod(k=1, #v, 1 + v[k]*x^k*y + O(x*x^#v)), -#v))}

%o seq(n)={my(v=[1]); for(i=2, n, v=concat([1], CFK(v))); v} \\ _Andrew Howroyd_, Sep 20 2018

%K nonn

%O 1,4

%A _Christian G. Bower_