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

%I #12 Sep 20 2018 15:18:17

%S 1,1,1,2,3,6,12,25,51,111,244,543,1219,2783,6352,14763,34208,80271,

%T 188517,446696,1057534,2527328,6029096,14488609,34792504,84059268,

%U 202861050,492369844,1193743829,2907834039,7078295983,17300759883,42248522887,103574837980

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

%H Andrew Howroyd, <a href="/A032218/b032218.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 "DFK" (bracelet, size, unlabeled) transform.

%o (PARI)

%o DFK(v)={apply(p->subst(serlaplace(p/y + polcoeff(p,1) + polcoeff(p,2)),y,1)/2, 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], DFK(v))); v} \\ _Andrew Howroyd_, Sep 20 2018

%K nonn

%O 1,4

%A _Christian G. Bower_

%E Terms a(32) and beyond from _Andrew Howroyd_, Sep 20 2018