%I A090935
%S A090935 1,1,5,7,31,43,138
%N A090935 Number of rational knots with n crossings with unknotting gap.
%D A090935 S. A. Bleiler, A note on unknotting number, Math. Proc. Camb. Phil. Soc. 
               96 (1984) 469-471.
%D A090935 D. Garity, Unknotting numbers are not realized in minimal projections 
               for a class of rational knots. Proceedings of the "II Italian-Spanish 
               Congress on General Topology and its Applications" (Trieste, 1999). 
               Rend. Istit. Mat. Univ. Trieste 32 (2001), suppl. 2, 59-72 (2002).
%D A090935 Y. Nakanishi, Unknotting numbers and knot diagrams with the minimum crossings, 
               Math. Sem. Notes Kobe Univ. 11 (1983) 257-258.
%H A090935 D. Garity, <a href="http://oregonstate.edu/~garityd/">Unknotting Numbers 
               are not Realized in Minimal Projections for a Class of Rational Knots</
               a>
%H A090935 S. Jablan and R. Sazdanovic, <a href="http://www.mi.sanu.ac.yu/vismath/
               linknot/">LinKnot</a>
%e A090935 The first knot with unknotting gap is 10_8=514
%e A090935 (Nakanishi-Bleiler example). For n=11 there is a knot 4142, etc.
%Y A090935 Cf. A090936.
%Y A090935 Sequence in context: A025119 A025095 A025114 this_sequence A153414 A104815 
               A007911
%Y A090935 Adjacent sequences: A090932 A090933 A090934 this_sequence A090936 A090937 
               A090938
%K A090935 nonn
%O A090935 10,3
%A A090935 Slavik Jablan and Radmila Sazdanovic (jablans(AT)mi.sanu.ac.yu), Feb 
               26 2004; corrected Aug 29 2004