%I #4 Oct 29 2018 07:16:35
%S 3,11,81,1228,28174,843186,30551755,1291861997,62352938720,
%T 3381736322813,203604398647922,13475238697911184,972429507963453210,
%U 75993857157285258473,6393779463050776636807,576237114190853665462712
%N Number of unrooted unlabeled 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, acting transitively and with no fixed point.
%Y Connected version of A129115. Unrooted version of A062980.
%Y Cf. also A121350, A121352, A005133.
%K nonn
%O 1,1
%A _Samuel A. Vidal_, Mar 30 2007
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