cp's OEIS Frontend

A006386 Number of sensed genus 1 maps with n edges.

%I A006386 M4253 #31 Jan 21 2025 21:29:37
%S A006386 1,6,46,452,4852,52972,587047,6550808,73483256,827801468,9360123740,
%T A006386 106189359544,1208328304864,13787042250528,157700137398689,
%U A006386 1807893066408464,20768681225892328,239037464947999900,2755989928117365244,31826208029615881656,368074022535205870382
%N A006386 Number of sensed genus 1 maps with n edges.
%C A006386 A genus 1 map can be called a toroidal map.
%D A006386 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006386 T. D. Noe, <a href="/A006386/b006386.txt">Table of n, a(n) for n = 2..30</a> (from Mednykh and Nedela)
%H A006386 A. D. Mednykh and R. Nedela, <a href="https://doi.org/10.1016/j.jctb.2006.01.005">Enumeration of unrooted maps with given genus</a>, J. Combin. Th. B, 96 (2006), 706-729.
%H A006386 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 A006386 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 A006386 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 A006386 Column k=1 of A379438.
%Y A006386 Cf. A006300 (rooted), A006384 (planar), A006387 (unsensed), A104595, A104596, A215019.
%K A006386 nice,nonn
%O A006386 2,2
%A A006386 _N. J. A. Sloane_
%E A006386 More terms from _Valery A. Liskovets_, Mar 22 2005
%E A006386 Edited by _N. J. A. Sloane_, May 23 2008