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A094030 Number of n-crossing knots with alternating braids of 3 strands. 3


%S 1,0,2,0,8,0,23,0,71,0,225,0,746,0,2555,0,8999,0,32297,0

%N Number of n-crossing knots with alternating braids of 3 strands.

%D K. Murasugi and B. J. Kurpita, A Study of Braids, Kluwer Academic Publishers (1999), pp. 127-166

%H T. A. Gittings, <a href="http://www.arXiv.org/abs/math.GT/0401051">Minimum braids: a complete invariant of knots and links</a>.

%H V. F. R. Jones, <a href="http://www.jstor.org/stable/1971403">Hecke algebra representations of braid groups and link polynomials</a>, Ann. of Math., 126 (1987), pp. 335-388.

%e 4 crossing knot (1 component link) can be represented as 3-strand braid AbAb that is alternating (overcrossings and undercrossing alternate).

%Y Cf. A094029, A094031, A094032.

%K nonn,more

%O 4,3

%A _Thomas A. Gittings_, Apr 22 2004

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Last modified October 28 04:43 EDT 2021. Contains 348313 sequences. (Running on oeis4.)