A007084 Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes without subgraphs R2 and R4.

0, 0, 0, 0, 1, 1, 1, 4, 5, 14, 28, 86, 211, 648, 1878, 5931, 18326, 58746, 187620, 608065, 1975191, 6461809, 21212414

Offset: 2

Author

N. J. A. Sloane, Mira Bernstein

Keywords

• nonn
• more

Comments

The graphs R2 and R4 are given on p. 281 of Holton. - Sean A. Irvine, Oct 09 2017

References

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

Links

• D. A. Holton et al., Hamiltonian cycles in cubic 3-connected bipartite planar graphs, J. Combin. Theory, B 38 (1985), 279-297.

Crossrefs

Cf. A007083.

Extensions

Title improved, a(17) corrected and a(20)-a(24) from Sean A. Irvine, Oct 09 2017