A051763 Number of nonalternating prime knots with n crossings.

0, 0, 0, 0, 0, 0, 0, 3, 8, 42, 185, 888, 5110, 27436, 168030, 1008906, 6283414, 39866181, 253511073

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• nice
• more

References

• See A002863 for many other references and links.

Links

• See A002863 for many other references and links.
• Benjamin A. Burton, The next 350 million knots, 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 Supporting Data for Regina.
• Jim Hoste, Morwen Thistlethwaite and Jeff Weeks, The First 1,701,936 Knots, Math. Intell., 20, 33-48, Fall 1998.
• K. A. Perko, Jr., Caudron's 1979 Knot Table, 2015 [Included with permission]
• Eric Weisstein's World of Mathematics, Alternating Knot.
• Eric Weisstein's World of Mathematics, Knot.

Crossrefs

Cf. A002863, A002864.

Extensions

Name clarified and a(17)-a(19) added from Burton's data by Andrey Zabolotskiy, Nov 25 2021