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%I #4 Oct 29 2018 07:16:45
%S 1,3,17,124,1618,33564,956263,33736198,1402665692,66902717187,
%T 3596481426812,215049652739982,14154852098315796,1016911004448831247,
%U 79174846391508487198,6640511488761139957873,596865894849670793348763
%N Number of unrooted unlabeled not necessarily connected triangular maps on a compact closed oriented surface with 2n faces (and thus 3n edges).
%C Equivalently, the number of pair of permutations (sigma,tau) up to simultaneous conjugacy on a set of size 6*n with sigma^3=tau^2=1 with no fixed point.
%Y Unconnected version of A129114. Unrooted, unconnected version of A062980.
%Y Cf. also A121350, A121352, A005133.
%K nonn
%O 0,2
%A _Samuel A. Vidal_, Mar 30 2007
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