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%I M0372 #32 Sep 20 2019 04:44:42
%S 0,0,1,0,1,1,2,2,8,8,32,57,185,466,1543,4583,15374,50116,171168,
%T 582603,2024119,7057472,24873248,88111772,314301078,1126716000,
%U 4060375677,14697571234,53432834170,195015189626,714404259151,2626130395699
%N Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.
%C Also the number of species of spherical Latin bi-trades of size n. - _Ian Wanless_, Oct 08 2007
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H G. Brinkmann, and B.D. McKay, <a href="http://users.cecs.anu.edu.au/~bdm/papers/plantri-full.pdf">Fast generation of planar graphs</a>, MATCH Commun. Math. Comput. Chem., 58 (2007) 323-357 [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010]
%H G. Brinkmann, and B.D. McKay, <a href="http://users.cecs.anu.edu.au/~bdm/plantri/plantri-guide.txt">Guide to using plantri (version 4.1)</a>.
%H Gunnar Brinkmann and Brendan McKay, <a href="/A007021/a007021.txt">Guide to using plantri</a> [Cached copy, with permission]
%H N. Cavenagh and P. Lisonek, <a href="http://dx.doi.org/10.1016/j.jcta.2007.04.002">Planar Eulerian triangulations are equivalent to spherical latin bitrades</a>, J. Combin. Theory Ser. A 115 (2008), no. 1, 193-197.
%H CombOS - Combinatorial Object Server, <a href="http://combos.org/plantri">generate planar graphs</a>
%H A. Drapal, C. Hamalainen and D. Rosendorf, <a href="http://arxiv.org/abs/0907.1376">An enumeration of spherical latin bitrades</a>, arXiv 0907.1376 [math.CO], Sep 16 2009.
%H D. A. Holton et al., <a href="http://dx.doi.org/10.1016/0095-8956(85)90072-3">Hamiltonian cycles in cubic 3-connected bipartite planar graphs</a>, J. Combin. Theory, B 38 (1985), 279-297.
%H I. Sciriha and P. W. Fowler, <a href="https://dx.doi.org/10.1021/ci700097j">Nonbonding Orbitals in Fullerenes: Nuts and Cores in Singular Polyhedral Graphs</a>, J. Chem. Inf. Model., 47, 5, 1763 - 1775, 2007.
%H I. M. Wanless, <a href="http://users.monash.edu.au/~iwanless/abstracts/tradenum.html">A computer enumeration of small latin trades</a>, Australas. J. Combin. 39, (2007) 247-258.
%Y Cf. A169955.
%K nonn
%O 2,7
%A _N. J. A. Sloane_, _Mira Bernstein_
%E Description and initial terms corrected by _Gordon F. Royle_, Feb 15 1999
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010
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