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A007101 Number of labeled trivalent (or cubic) cyclically 4-connected graphs with 2n nodes.
(Formerly M4761)
2

%I M4761 #11 Mar 30 2012 16:45:07

%S 1,10,3360,1753920,1812888000,3158396841600,8496995611104000,

%T 33199738565849856000,180116271096528678912000,

%U 1310903590075375049994240000,12454930569778045924343408640000

%N Number of labeled trivalent (or cubic) cyclically 4-connected graphs with 2n nodes.

%D R. W. Robinson, personal communication.

%D R. W. Robinson, Numerical implementation of graph counting algorithms, AGRC Grant, Math. Dept., Univ. Newcastle, Australia, 1976.

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

%H R. W. Robinson, <a href="/A007101/b007101.txt">Table of n, a(n) for n = 2..30</a>

%H N. C. Wormald, <a href="http://dx.doi.org/10.1002/jgt.3190090418">Enumeration of cyclically 4-connected cubic graphs</a>, J. Number Theory 9 (4) (1985) 563, Theorem 4.1.

%K nonn

%O 2,2

%A _N. J. A. Sloane_.

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)