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Number of series-reduced planted compound windmills with n leaves.
2

%I #15 Jun 21 2018 10:34:34

%S 1,1,2,5,12,36,104,331,1062,3519,11809,40327,139066,484698,1702819,

%T 6026452,21460248,76846950,276524978,999423375,3626370269,13205135288,

%U 48241233346,176757275833,649399348322,2391817886703

%N Number of series-reduced planted compound windmills with n leaves.

%H Andrew Howroyd, <a href="/A032203/b032203.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 INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=79">Encyclopedia of Combinatorial Structures 79</a>

%F Doubles (index 2+) under "CIK" (necklace, indistinct, unlabeled) transform.

%o (PARI)

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

%o seq(n)={my(p=x); for(i=2, n, p+=x^i*polcoeff(CIK(p,i),i)); Vecrev(p/x)} \\ _Andrew Howroyd_, Jun 21 2018

%K nonn

%O 1,3

%A _Christian G. Bower_