cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A129114 Number of unrooted unlabeled connected triangular maps on a compact closed oriented surface with 2n faces (and thus 3n edges).

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%I A129114 #8 Jan 29 2025 22:33:04
%S A129114 1,3,11,81,1228,28174,843186,30551755,1291861997,62352938720,
%T A129114 3381736322813,203604398647922,13475238697911184,972429507963453210,
%U A129114 75993857157285258473,6393779463050776636807,576237114190853665462712,55385308766655472416299110,5655262782600929403228668176
%N A129114 Number of unrooted unlabeled connected triangular maps on a compact closed oriented surface with 2n faces (and thus 3n edges).
%C A129114 Equivalently, the number of pairs 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.
%H A129114 Andrew Howroyd, <a href="/A129114/b129114.txt">Table of n, a(n) for n = 0..300</a>
%F A129114 Inverse Euler transform of A129115. - _Andrew Howroyd_, Jan 29 2025
%Y A129114 Column 3 of A380626.
%Y A129114 Connected version of A129115.
%Y A129114 Unrooted version of A062980.
%Y A129114 Cf. also A121350, A121352, A005133.
%K A129114 nonn
%O A129114 0,2
%A A129114 _Samuel A. Vidal_, Mar 30 2007
%E A129114 a(0)=1 prepended and terms a(17) onwards from _Andrew Howroyd_, Jan 29 2025