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

0,5

REFERENCES

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

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

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 * A184133 A004704 A138473

Adjacent sequences:  A006298 A006299 A006300 * 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 February 15 15:20 EST 2012. Contains 205823 sequences.