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.

A292207 Number of unrooted unlabeled bipartite cubic maps on a compact closed oriented surface with 2*n vertices (and thus 3*n edges).

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%I A292207 #15 Jan 23 2025 21:57:49
%S A292207 2,3,16,133,1440,22076,401200,8523946,206375088,5611089408,
%T A292207 169259764912,5610386295418,202710195084400,7929759557219228,
%U A292207 333909047017798272,15059194651009154172,724232293050284717248
%N A292207 Number of unrooted unlabeled bipartite cubic maps on a compact closed oriented surface with 2*n vertices (and thus 3*n edges).
%C A292207 Equivalently, the number of unrooted bicolored triangulations with 2*n triangles (and thus 3*n edges).
%C A292207 Equivalently, the number of pairs of permutations (alpha,sigma) up to simultaneous conjugacy on a set of size 3*n with alpha^3=sigma^3=1, acting transitively and without fixed points.
%C A292207 There is no recurrence relation known for this sequence.
%H A292207 Laura Ciobanu and Alexander Kolpakov, <a href="https://doi.org/10.1016/j.disc.2019.01.014">Free subgroups of free products and combinatorial hypermaps</a>, Discrete Mathematics, 342 (2019), 1415-1433; arXiv:<a href="https://arxiv.org/abs/1708.03842">1708.03842</a> [math.CO], 2017-2019.
%Y A292207 Unrooted version of A292187.
%K A292207 nonn
%O A292207 1,1
%A A292207 _Sasha Kolpakov_, Sep 11 2017
%E A292207 Offset edited by _Andrey Zabolotskiy_, Jan 17 2025