A094029 -id:A094029 - cp's OEIS frontend

Showing 1-3 of 3 results.

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

Original entry on oeis.org

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

Offset: 4

Thomas A. Gittings, Apr 22 2004

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

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

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.

Cf. A094029, A094031, A094032.

A094031 Number of n-crossing 2 component links with alternating braids of 3 strands.

Original entry on oeis.org

0, 1, 0, 5, 0, 18, 0, 57, 0, 183, 0, 604, 0, 2047, 0, 7145, 0, 25471, 0, 92193

Offset: 4

Thomas A. Gittings, Apr 22 2004

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

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.

Cf. A094029, A094030, A094032.

A094032 Number of n-crossing 3 component links with alternating braids of 3 strands.

Original entry on oeis.org

0, 0, 2, 0, 5, 0, 15, 0, 44, 0, 129, 0, 407, 0, 1349, 0, 4638, 0, 16425, 0

Offset: 4

Thomas A. Gittings, Apr 22 2004

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

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.

Cf. A094029, A094030, A094031.

Showing 1-3 of 3 results.