A094029 Number of n-crossing links with alternating braids of 3 strands.
1, 1, 4, 5, 13, 18, 38, 57, 115, 183, 354, 604, 1153, 2047, 3904, 7145, 13637, 25471, 48722, 92193
Offset: 4
Examples
4 crossing knot (1 component link) can be represented as 3-strand braid AbAb that is alternating (overcrossings and undercrossing alternate).
References
- K. Murasugi and B. J. Kurpita, A Study of Braids, Kluwer Academic Publishers (1999), pp. 127-166
Links
- T. A. Gittings, Minimum braids: a complete invariant of knots and links.
- V. F. R. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math., 126 (1987), pp. 335-388.
Comments