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A094030
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Number of n-crossing knots with alternating braids of 3 strands.
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3
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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
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4,3
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REFERENCES
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V. F. R. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math., 126 (1987), pp. 335-388.
K. Murasugi and B. J. Kurpita, A Study of Braids, Kluwer Academic Publishers (1999), pp. 127-166
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LINKS
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Table of n, a(n) for n=4..23.
T. A. Gittings, Minimum braids: a complete invariant of knots and links.
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EXAMPLE
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4 crossing knot (1 component link) can be represented as 3-strand braid AbAb that is alternating (overcrossings and undercrossing alternate)
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CROSSREFS
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Cf. A094029, A094031, A094032.
Sequence in context: A213272 A053205 A167029 * A199573 A103424 A211163
Adjacent sequences: A094027 A094028 A094029 * A094031 A094032 A094033
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KEYWORD
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nonn
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AUTHOR
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Thomas A. Gittings (tomgittings(AT)aol.com), Apr 22 2004
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STATUS
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approved
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