A006294 Number of rooted planar maps with n edges.
1, 1, 5, 22, 164, 1030, 8885, 65954, 614404, 5030004, 49145460, 429166584, 4331674512, 39599553708, 409230997461, 3871362876810, 40730958917220, 395684757649324, 4222043580320852, 41894315105061848, 452123832420881296
Offset: 0
Keywords
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.
- T. R. S. Walsh and A. B. Lehman, Counting rooted maps by genus, J. Comb. Thy B13 (1972), 122-141 and 192-218.
Links
- W. T. Tutte, On the enumeration of planar maps. Bull. Amer. Math. Soc. 74 1968 64-74.
- T. R. S. Walsh and A. B. Lehman, Counting rooted maps by genus, J. Comb. Thy B13 (1972), 122-141 and 192-218.
- Notes
Crossrefs
Row maxima of A269920.
Extensions
More terms from Sean A. Irvine, Feb 24 2017