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%I #8 Mar 11 2023 00:13:41
%S 1,1,1,4,19,124,931,7801,68685,630850,5966610,57808920,571178751,
%T 5737672339,58455577800,602859484608,6283968796705,66119472527814,
%U 701526880303315,7498841163925819,80696081185766970,873654670250482120,9510760874015305314,104056578392127906720
%N Number of nonequivalent noncrossing triangular cacti with n triangles up to rotation and reflection.
%H Andrew Howroyd, <a href="/A361240/b361240.txt">Table of n, a(n) for n = 0..500</a>
%F a(2*n) = (A361237(2*n) + A002294(n))/2; a(2*n+1) = (A361237(2*n+1) + A118970(n))/2.
%Y Column 3 of A361239.
%Y Cf. A002294, A118970, A361237.
%K nonn
%O 0,4
%A _Andrew Howroyd_, Mar 06 2023
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