login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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