A006386 - OEIS

%I M4253 #25 Dec 19 2021 00:07:39

%S 1,6,46,452,4852,52972,587047,6550808,73483256,827801468,9360123740,

%T 106189359544,1208328304864,13787042250528,157700137398689,

%U 1807893066408464,20768681225892328,239037464947999900

%N Number of unrooted maps with n edges on the torus.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H T. D. Noe, <a href="/A006386/b006386.txt">Table of n, a(n) for n = 2..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. Walsh, <a href="http://dx.doi.org/10.1137/0604018">Generating nonisomorphic maps without storing them</a>, SIAM J. Algebraic Discrete Methods 4 (1983), no. 2, 161-178.

%H Timothy R. Walsh, <a href="https://doi.org/10.1016/j.tcs.2011.08.026">Counting maps on doughnuts</a>, Theoretical Computer Science, vol.502, pp.4-15, (September-2013).

%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 Cf. A006300.

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

%K nice,nonn

%O 2,2

%A _N. J. A. Sloane_

%E More terms from _Valery A. Liskovets_, Mar 22 2005

%E Edited by _N. J. A. Sloane_, May 23 2008