%I
%S 1,0,1,1,3,5,17,40,138,430,1546,5478,20525,77310,298301,1161692,
%T 4583525,18239037,73221198,296046399,1205038270,4933969005,
%U 20311807087,84029440358,349201537324,1457205298510,6104204225832,25661191956781,108231773165825
%N Number of noncrossing path sets on n nodes up to rotation and reflection with each path having at least two nodes.
%H Andrew Howroyd, <a href="/A303839/b303839.txt">Table of n, a(n) for n = 0..200</a>
%e Case n=4: There are 3 possibilities:
%e .
%e oo o o oo
%e   /
%e oo oo oo
%e .
%o (PARI) \\ See A303731 for NCPathSetsModDihedral
%o Vec(NCPathSetsModDihedral(vector(30, k, k>1)))
%Y Cf. A303730, A303731, A303835, A303844.
%K nonn
%O 0,5
%A _Andrew Howroyd_, May 01 2018
