Search: id:A051764
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%I A051764
%S A051764 0,0,1,0,1,0,1,1,1,1,1,0,1,1,2,1,1,0,1,1,2,1,1,1,1,1,2,2,1,0,1,2,2,1,2,
%T A051764 1,1,1,2,1,1,0,1,2,2,1,1,2,1,1,2,2,1,1,2,2,2,1,1,1,1,1,3,2,2,1,1,2,2,1,
%U A051764 1,2,1,1,2,2,2,1,1,2,2,1,1,1,2,1,2,3,1,1,2,2,2,1,2,2,1,1,3,1,1,1,1,3,3
%N A051764 Torus knots with n crossings.
%D A051764 Hoste, J.; Thistlethwaite, M.; and Weeks, J. "The First 1,701,936 Knots." 
               Math. Intell., 20, 33-48, Fall 1998.
%D A051764 Kunio Murasugi, On the braid index of alternating links, Trans. Amer. 
               Math. Soc. 326 (1991), 237-260.
%H A051764 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HyperbolicKnot.html">Link to a section of The World of Mathematics.</
               a>
%H A051764 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Knot.html">Link to a section of The World of Mathematics.</a>
%H A051764 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               TorusKnot.html">Link to a section of The World of Mathematics.</a>
%H A051764 R. G. Scharein, <a href="http://www.cs.ubc.ca/nest/imager/contributions/
               scharein/knot-theory/torus_xing.html">Torus knots and links by crossing 
               number</a>
%H A051764 D. Bar-Natan, <a href="http://www.math.toronto.edu/~drorbn/KAtlas/TorusKnots/
               index.html">36 Torus Knots(with up to 36 crossings)</a>
%F A051764 a(n) = cardinality of the set {k| sqrt(n) < k <= n and gcd(k, 1+n/k) 
               = 1}; see Murasugi article. - Hermann Gruber (HermelBraeu(AT)gmx.de), 
               Mar 05 2003
%Y A051764 Sequence in context: A037906 A120936 A101675 this_sequence A025906 A020944 
               A025897
%Y A051764 Adjacent sequences: A051761 A051762 A051763 this_sequence A051765 A051766 
               A051767
%K A051764 nonn,nice
%O A051764 1,15
%A A051764 Eric Weisstein (eric(AT)weisstein.com)

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