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%I #8 Jul 28 2017 13:26:45
%S 560,5040,957600,123354000,16842764400,2764379217600,527554510282800,
%T 114387072405606000,27728561968887780000,7418031804967840056000,
%U 2167306256125914230527200,685709965521372865035362400,233306923207078035272369412000
%N Number of labeled non-planar non-projective-planar toroidal 2-connected K_{3,3}-subdivision-free graphs with no vertex of degree 2 and with n vertices.
%C By empirical evidence, the terms possess a curious prime factor behavior. E.g. 2^5*3^3*5^3*7^2*11*13*17*19 divides a(20)=233306923207078035272369412000.
%H A. Gagarin, G. Labelle and P. Leroux, <a href="https://arxiv.org/abs/math/0411356">Characterization and enumeration of toroidal K_{3,3}-subdivision-free graphs</a>, arXiv:math/0411356 [math.CO], 2004.
%Y Cf. A104590.
%K nonn
%O 8,1
%A _Valery A. Liskovets_, Mar 22 2005
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