cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A094029 Number of n-crossing links with alternating braids of 3 strands.

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%I A094029 #8 Apr 20 2014 03:10:48
%S A094029 1,1,4,5,13,18,38,57,115,183,354,604,1153,2047,3904,7145,13637,25471,
%T A094029 48722,92193
%N A094029 Number of n-crossing links with alternating braids of 3 strands.
%C A094029 Series is sum of three series for 1, 2 and 3 component links with alternating braids of 3 strands.
%D A094029 K. Murasugi and B. J. Kurpita, A Study of Braids, Kluwer Academic Publishers (1999), pp. 127-166
%H A094029 T. A. Gittings, <a href="http://www.arXiv.org/abs/math.GT/0401051">Minimum braids: a complete invariant of knots and links</a>.
%H A094029 V. F. R. Jones, <a href="http://www.jstor.org/stable/1971403">Hecke algebra representations of braid groups and link polynomials</a>, Ann. of Math., 126 (1987), pp. 335-388.
%e A094029 4 crossing knot (1 component link) can be represented as 3-strand braid AbAb that is alternating (overcrossings and undercrossing alternate).
%Y A094029 Cf. A094030, A094031, A094032.
%K A094029 nonn,more
%O A094029 4,3
%A A094029 _Thomas A. Gittings_, Apr 22 2004