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Number of rooted planar maps with n edges.
(Formerly M3922)
1

%I M3922 #24 May 09 2021 08:19:48

%S 1,1,5,22,164,1030,8885,65954,614404,5030004,49145460,429166584,

%T 4331674512,39599553708,409230997461,3871362876810,40730958917220,

%U 395684757649324,4222043580320852,41894315105061848,452123832420881296

%N Number of rooted planar maps with n edges.

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

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

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

%H W. T. Tutte, <a href="http://dx.doi.org/10.1090/S0002-9904-1968-11877-4">On the enumeration of planar maps</a>. Bull. Amer. Math. Soc. 74 1968 64-74.

%H T. R. S. Walsh and A. B. Lehman, <a href="http://dx.doi.org/10.1016/0095-8956(72)90056-1">Counting rooted maps by genus</a>, J. Comb. Thy B13 (1972), 122-141 and 192-218.

%H <a href="/A007401/a007401_1.pdf">Notes</a>

%Y Row maxima of A269920.

%K nonn

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Feb 24 2017