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Number of parameter sequences of length n for which a certain 2-factor contains a Hamiltonian path (see reference for precise definition).
2

%I #22 May 28 2018 03:42:44

%S 0,1,3,12,100,1580,113438

%N Number of parameter sequences of length n for which a certain 2-factor contains a Hamiltonian path (see reference for precise definition).

%C The next term is at least 100.

%H <a href="/A202302/b202302.txt">Table of n, a(n) for n = 1..7</a>

%H Torsten Mütze and Franziska Weber, <a href="http://arxiv.org/abs/1111.2413">Construction of 2-factors in the middle layer of the discrete cube</a>, arXiv preprint arXiv:1111.2413 [math.CO], 2011.

%H T. Mütze and F. Weber, <a href="http://dx.doi.org/10.1016/j.jcta.2012.06.005">Construction of 2-factors in the middle layer of the discrete cube</a>, Journal of Combinatorial Theory, Series A, 119(8) (2012), 1832-1855.

%Y Cf. A171690.

%K nonn,more

%O 1,3

%A _N. J. A. Sloane_, Jan 12 2012