login
Number of projections of rational knots with n crossings.
0

%I #15 Sep 23 2019 09:43:54

%S 1,1,2,3,10,20,68,182,618

%N Number of projections of rational knots with n crossings.

%D Kirkman T.P.: The enumeration, description and construction of knots of fewer than ten crossings. Trans. Roy. Soc. Edinburgh 32 (1885), 281-309.

%D Tait P.G.: On knots. Trans. Roy. Soc. Edin. 28 (1876/77), 145-190.

%H A. Caudron, <a href="http://sites.mathdoc.fr/PMO/PDF/C_CAUDRON_82_04.pdf">Classification des noeuds et des enlacements</a>, Public. Math. d'Orsay 82. Orsay: Univ. Paris Sud, Dept. Math., 1982.

%H Alain Caudron, <a href="/A002863/a002863_3.pdf">Classification des noeuds et des enlacements (Thèse et additifs)</a>, Univ. Paris-Sud, 1989 [Scanned copy, included with permission] Contains additional material.

%H Jablan S., <a href="http://www.mi.sanu.ac.rs/vismath/sl/index.html">Ordering Knots</a>.

%H Jablan S. and Sazdanovic R., <a href="http://www.mi.sanu.ac.rs/vismath/linknot/index.html">LinKnot</a>.

%Y Cf. A018240=number of rational knots.

%K nonn,more

%O 3,3

%A Slavik Jablan and Radmila Sazdanovic, Jan 09 2004