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A006385 Number of connected planar maps with n edges.
(Formerly M1279)
10
1, 2, 4, 14, 52, 248, 1416, 9172, 66366, 518868, 4301350, 37230364, 333058463, 3057319072, 28656583950, 273298352168, 2645186193457, 25931472185976 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

T. R. S. Walsh, personal communication.

LINKS

Table of n, a(n) for n=0..17.

Richard Kapolnai, Gabor Domokos, and Timea Szabo, Generating spherical multiquadrangulations by restricted vertex splittings and the reducibility of equilibrium classes, Periodica Polytechnica Electrical Engineering, 56(1):11-10, 2012. Also arXiv:1206.1698, 2012. See Table 2.

V. A. Liskovets, A reductive technique for enumerating nonisomorphic planar maps, Discr. Math., v.156 (1996), 197-217.

Walsh, T. R. S., Generating nonisomorphic maps without storing them, SIAM J. Algebraic Discrete Methods 4 (1983), no. 2, 161-178.

Timothy R. Walsh, Space-efficient generation of nonisomorphic maps and hypermaps

T. R. Walsh, Space-Efficient Generation of Nonisomorphic Maps and Hypermaps, J. Int. Seq. 18 (2015) # 15.4.3

Wormald, Nicholas C. Counting unrooted planar maps, Discrete Math. 36 (1981), no. 2, 205-225.

CROSSREFS

Cf. A090376.

Cf. A006387, A214814, A214815, A214816.

Sequence in context: A295760 A129876 A038055 * A183949 A131180 A047990

Adjacent sequences:  A006382 A006383 A006384 * A006386 A006387 A006388

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 22 01:12 EDT 2018. Contains 312890 sequences. (Running on oeis4.)