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

4,3

References

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

Links

Table of n, a(n) for n=4..23.

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.

Example

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

Crossrefs

Cf. A094029, A094031, A094032.

Sequence in context: A213272 A053205 A167029 * A199573 A103424 A347596

Adjacent sequences: A094027 A094028 A094029 * A094031 A094032 A094033

Keyword

nonn,more

Author

Thomas A. Gittings, Apr 22 2004

Status

approved