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A094030 Number of n-crossing knots with alternating braids of 3 strands. 3
1, 0, 2, 0, 8, 0, 23, 0, 71, 0, 225, 0, 746, 0, 2555, 0, 8999, 0, 32297, 0 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 28 06:57 EDT 2021. Contains 347703 sequences. (Running on oeis4.)