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A006301 Number of rooted genus-2 maps with n edges.
(Formerly M5120)
+0
2
0, 0, 0, 0, 21, 966, 27954, 650076, 13271982, 248371380, 4366441128, 73231116024, 1183803697278, 18579191525700, 284601154513452 (list; graph; listen)
OFFSET

0,5

REFERENCES

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

E. A. Bender and E. R. Canfield, The number of rooted maps on an orientable surface, J. Combin. Theory, B 53 (1991), 293-299.

T. R. S. Walsh, Combinatorial Enumeration of Non-Planar Maps. Ph.D. Dissertation, Univ. of Toronto, 1971.

T. R. S. Walsh and A. B. Lehman, Counting rooted maps by genus, J. Comb. Thy B13 (1972), 122-141 and 192-218.

LINKS

T. D. Noe, Table of n, a(n) for n=0..30 (from Mednykh and Nedela)

CROSSREFS

Sequence in context: A012793 A015305 A101732 this_sequence A004704 A138473 A072678

Adjacent sequences: A006298 A006299 A006300 this_sequence A006302 A006303 A006304

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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