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A005967 Number of isomorphism classes of connected 3-regular multigraphs of order 2n, loops allowed.
(Formerly M1512)
8
2, 5, 17, 71, 388, 2592, 21096, 204638, 2317172, 30024276, 437469859, 7067109598, 125184509147, 2410455693765, 50101933643655, 1117669367609605 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

A. T. Balaban, Enumeration of Cyclic Graphs, pp. 63-105 of A. T. Balaban, ed., Chemical Applications of Graph Theory, Ac. Press, 1976; see p. 92.

G. Brinkmann, N. Van Cleemput, T. Pisanski, Generation of various classes of trivalent graphs, Theor. Comput. Sci. 502 (2013) 16-29, Table 1 column LM.

Brendan McKay, software at http://users.cecs.anu.edu.au/~bdm/nauty/

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

LINKS

Table of n, a(n) for n=1..16.

R. J. Mathar, Cubic Multigraphs A005967

CROSSREFS

Cf. A129427, A000421, A085549, A129430, A129432, A129434, A129436

Sequence in context: A101900 A005966 A082282 * A104859 A108289 A007779

Adjacent sequences:  A005964 A005965 A005966 * A005968 A005969 A005970

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Checked by Brendan McKay, Apr 15 2007

Using sequence A129427, terms a(12) - a(16) were computed in GAP by Ignat Soroko (ignat.soroko(AT)gmail.com), Apr 07 2010

STATUS

approved

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Last modified November 17 01:58 EST 2018. Contains 317275 sequences. (Running on oeis4.)