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A051763 Number of nonalternating prime knots with n crossings. 0

%I #29 Jun 10 2022 07:57:46

%S 0,0,0,0,0,0,0,3,8,42,185,888,5110,27436,168030,1008906,6283414,

%T 39866181,253511073

%N Number of nonalternating prime knots with n crossings.

%D See A002863 for many other references and links.

%H See A002863 for many other references and links.

%H Benjamin A. Burton, <a href="https://doi.org/10.4230/LIPIcs.SoCG.2020.25">The next 350 million knots</a>, 36th International Symposium on Computational Geometry (SoCG 2020), Leibniz Int. Proc. Inform., vol. 164, Schloss Dagstuhl-Leibniz-Zentrum für Informatik, 2020, pp. 25:1-25:17. See also knot tables in <a href="https://regina-normal.github.io/data.html">Supporting Data for Regina</a>.

%H Jim Hoste, Morwen Thistlethwaite and Jeff Weeks, <a href="http://dx.doi.org/10.1007/BF03025227">The First 1,701,936 Knots</a>, Math. Intell., 20, 33-48, Fall 1998.

%H K. A. Perko, Jr., <a href="/A002863/a002863_1.pdf">Caudron's 1979 Knot Table</a>, 2015 [Included with permission]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AlternatingKnot.html">Alternating Knot.</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Knot.html">Knot.</a>

%Y Cf. A002863, A002864.

%K nonn,nice,more

%O 1,8

%A _Eric W. Weisstein_

%E Name clarified and a(17)-a(19) added from Burton's data by _Andrey Zabolotskiy_, Nov 25 2021

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Last modified April 24 14:13 EDT 2024. Contains 371960 sequences. (Running on oeis4.)