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a(n) is the number of rooted 6-regular maps on the Klein bottle with n vertices and 2n edges.
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%I #6 Nov 01 2021 22:30:30

%S 42,3846,300048,22171638,1595739432,113110095540,7939173652032,

%T 553477015433958,38395171272416568,2653558455501023196

%N a(n) is the number of rooted 6-regular maps on the Klein bottle with n vertices and 2n edges.

%H Evgeniy Krasko and Alexander Omelchenko, <a href="https://arxiv.org/abs/1709.03225">Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps</a>, arXiv:1709.03225 [math.CO], 2017. See also <a href="https://doi.org/10.1016/j.disc.2018.07.013">Disc. Math.</a> (2019) Vol. 342, Issue 2, 584-599. Table 3.

%Y Cf. A323276, A323279, A323281.

%K nonn,more

%O 1,1

%A _Michael De Vlieger_, Nov 01 2021