%I A002863 M0851 N0323
%S A002863 0,0,1,1,2,3,7,21,49,165,552,2176,9988,46972,253293,1388705
%N A002863 Number of prime knots with n crossings.
%D A002863 C. C. Adams, The Knot Book, Freeman, NY, 2001; see p. 33.
%D A002863 J. H. Conway, An enumeration of knots and links and some of their algebraic 
               properties. 1970. Computational Problems in Abstract Algebra (Proc. 
               Conf., Oxford, 1967) pp. 329-358 Pergamon, Oxford.
%D A002863 Martin Gardner, The Last Recreations, Copernicus, 1997, 67-84.
%D A002863 J. Hoste, M. B. Thistlethwaite and J. Weeks, The First 1,701,936 Knots, 
               Math. Intell., 20, 33-48, Fall 1998.
%D A002863 W. B. R. Lickorish and K. C. Millett, The new polynomial invariants of 
               knots and links. Math. Mag. 61 (1988), no. 1, 3-23.
%D A002863 K. A. Perko, Jr., On the classification of knots, Proc. Amer. Math. Soc., 
               45 (1974), 262-266.
%D A002863 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002863 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002863 P. G. Tait, Scientific Papers, Cambridge Univ. Press, Vol. 1, 1898, Vol. 
               2, 1900, see Vol. 1, p. 345.
%D A002863 M. B. Thistlethwaite, personal communication.
%D A002863 M. B. Thistlethwaite, Knot tabulations and related topics. Aspects of 
               topology, 1-76, London Math. Soc. Lecture Note Ser., 93, Cambridge 
               Univ. Press, Cambridge-New York, 1985.
%H A002863 S. R. Finch, <a href="http://algo.inria.fr/bsolve/">Knots, links and 
               tangles</a>
%H A002863 R. G. Scharein, <a href="http://www.cs.ubc.ca/nest/imager/contributions/
               scharein/knot-theory/PrimeLinks.html">Number of Prime Links</a>
%H A002863 N. J. A. Sloane, <a href="a2863.gif">Illustration of initial terms</a>
%H A002863 M. B. Thistlethwaite, <a href="http://www.math.utk.edu/~morwen/index.html">
               Home Page</a>
%H A002863 M. B. Thistlethwaite, <a href="http://www.math.utk.edu/~morwen/png/link_stats.png">
               Numbers of knots and links with up to 19 crossings</a>
%H A002863 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PrimeKnot.html">Link to a section of The World of Mathematics (1).</
               a>
%H A002863 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Knot.html">Link to a section of The World of Mathematics (2).</a>
%H A002863 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PrimeLink.html">Prime Link</a>
%Y A002863 Cf. A002864, A086825.
%Y A002863 Sequence in context: A080021 A032313 A032223 this_sequence A047693 A001532 
               A109456
%Y A002863 Adjacent sequences: A002860 A002861 A002862 this_sequence A002864 A002865 
               A002866
%K A002863 nonn,hard,nice
%O A002863 1,5
%A A002863 N. J. A. Sloane (njas(AT)research.att.com).
%E A002863 This is stated incorrectly in CRC Standard Mathematical Tables and Formulae, 
               30th ed., first printing, 1996, p. 320.
%E A002863 Terms from Hoste et al. added by Eric Weisstein (eric(AT)weisstein.com)