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Search: id:A094029
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| A094029 |
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Number of n-crossing links with alternating braids of 3 strands. |
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+0
4
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| 1, 1, 4, 5, 13, 18, 38, 57, 115, 183, 354, 604, 1153, 2047, 3904, 7145, 13637, 25471, 48722, 92193
(list; graph; listen)
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OFFSET
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4,3
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COMMENT
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Series is sum of three series for 1, 2 and 3 component links with alternating braids of 3 strands
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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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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. A094030, A094031, A094032.
Sequence in context: A087882 A083709 A091183 this_sequence A005672 A147001 A140683
Adjacent sequences: A094026 A094027 A094028 this_sequence A094030 A094031 A094032
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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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