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

1,8

References

See A002863 for many other references and links.

Links

Table of n, a(n) for n=1..19.

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.

Sequence in context: A128322 A337758 A038048 * A074435 A039647 A071533

Adjacent sequences: A051760 A051761 A051762 * A051764 A051765 A051766

Keyword

nonn,nice,more

Author

Eric W. Weisstein

Extensions

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

Status

approved