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A006386
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Number of unrooted maps with n edges on the torus.
(Formerly M4253)
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5
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1, 6, 46, 452, 4852, 52972, 587047, 6550808, 73483256, 827801468, 9360123740, 106189359544, 1208328304864, 13787042250528, 157700137398689, 1807893066408464, 20768681225892328, 239037464947999900
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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2,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Walsh, T. R. S.; Generating nonisomorphic maps without storing them. SIAM J. Algebraic Discrete Methods 4 (1983), no. 2, 161-178.
Walsh, Timothy R.S.; Giorgetti, Alain; Mednykh, Alexander. Enumeration of unrooted orientable maps of arbitrary genus by number of edges and vertices. Discrete Math. 312 (2012), no. 17, 2660--2671. MR2935417. - From N. J. A. Sloane, Aug 01 2012
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LINKS
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T. D. Noe, Table of n, a(n) for n=2..30 (from Mednykh and Nedela)
A. D. Mednykh and R. Nedela, Enumeration of unrooted maps with given genus, preprint (submitted to J. Combin. Th. B).
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CROSSREFS
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Cf. A006300.
Cf. A006386, A104595, A104596, A215019.
Sequence in context: A049378 A218497 A001829 * A215084 A094655 A015865
Adjacent sequences: A006383 A006384 A006385 * A006387 A006388 A006389
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KEYWORD
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nice,nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from Valery A. Liskovets, Mar 22 2005
Edited by N. J. A. Sloane, May 23 2008
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STATUS
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approved
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