

A094030


Number of ncrossing 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
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OFFSET

4,3


REFERENCES

K. Murasugi and B. J. Kurpita, A Study of Braids, Kluwer Academic Publishers (1999), pp. 127166


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. 335388.


EXAMPLE

4 crossing knot (1 component link) can be represented as 3strand 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



