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

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

Offset: 4

Author

Thomas A. Gittings, Apr 22 2004

Keywords

• nonn
• more

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.

Crossrefs

Cf. A094029, A094031, A094032.