A006299 Number of rooted genus-2 maps with n edges. (Formerly M5118)

21, 483, 15018, 258972, 5554188, 85421118, 1558792200, 22555934280, 375708427812, 5235847653036, 82234427131416, 1117259292848016, 16842445235560944, 224686278407291148, 3286157560248860532, 43241609165618454096, 617910462111714896820

Offset

4,1

References

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.

Links

Table of n, a(n) for n=4..20.

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

Crossrefs

Row maxima of A269922.

Sequence in context: A006298 A089907 A015695 * A231542 A065921 A129993

Adjacent sequences: A006296 A006297 A006298 * A006300 A006301 A006302

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Feb 24 2017

Status

approved