A104590 Number of labeled non-planar non-projective-planar toroidal 2-connected K_{3,3}-subdivision-free graphs with n vertices.

560, 191520, 42058800, 7864256400, 1407126890400, 257752421166240, 50607986220311520, 10995419195575214400, 2692773804667509763200, 747221542837742897724800, 233698171655650029030743040, 81472765051132560093387934080, 31268587126068905034073041062400

Offset

8,1

Comments

By empirical evidence, the terms possess a curious prime factor behavior. E.g. 2^7*3^2*5*7*13*17*19 divides a(19)=81472765051132560093387934080.

Links

Table of n, a(n) for n=8..20.

A. Gagarin, G. Labelle and P. Leroux, Characterization and enumeration of toroidal K_{3,3}-subdivision-free graphs, arXiv:math/0411356 [math.CO], 2004.

Crossrefs

Cf. A104591.

Sequence in context: A013487 A229389 A167822 * A259211 A265261 A234936

Adjacent sequences: A104587 A104588 A104589 * A104591 A104592 A104593

Keyword

nonn

Author

Valery A. Liskovets, Mar 22 2005

Status

approved