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Number of unrooted maps with n edges of (orientable) genus 2.
12

%I #14 Jan 20 2025 19:11:39

%S 4,106,2382,46680,830848,13804864,218353000,3328822880,49325772812,

%T 714586880940,10164338225482,142403410942816,1969831979334086,

%U 26954132420126920,365393525753591368,4913176199287631232,65593569635906036912,870192550284377429780,11479539192932030062066

%N Number of unrooted maps with n edges of (orientable) genus 2.

%H T. D. Noe, <a href="/A104595/b104595.txt">Table of n, a(n) for n=4..30</a> (from Mednykh and Nedela)

%H A. D. Mednykh and R. Nedela, <a href="http://www.savbb.sk/mu/articles/4_2004_nedela.pdf">Enumeration of unrooted maps with given genus</a>, preprint (submitted to J. Combin. Th. B).

%H Timothy R. S. Walsh, Alain Giorgetti, Alexander Mednykh, <a href="http://dx.doi.org/10.1016/j.disc.2011.11.027">Enumeration of unrooted orientable maps of arbitrary genus by number of edges and vertices</a>, Discrete Math. 312 (2012), no. 17, 2660--2671. MR2935417. - From _N. J. A. Sloane_, Aug 01 2012

%Y Column k=2 of A379438.

%Y Cf. A006301 (rooted), A214814 (unsensed).

%Y Cf. A006386, A104595, A104596, A215019.

%K nonn,changed

%O 4,1

%A _Valery A. Liskovets_, Mar 22 2005