A052408 Number of hyperbolic knots with n crossings (A002863 - A051764 - A051765).

0, 0, 0, 1, 1, 3, 6, 20, 48, 164, 551, 2176, 9985, 46969, 253285, 1388694, 8053363, 48266380, 294130212

Offset

1,6

Links

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

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.

Andrei Malyutin, On the question of genericity of hyperbolic knots, arXiv preprint arXiv:1612.03368 [math.GT], 2016.

Eric Weisstein's World of Mathematics, Hyperbolic Knot.

Crossrefs

Cf. A052407.

Sequence in context: A081181 A062164 A265112 * A148573 A148574 A005558

Adjacent sequences: A052405 A052406 A052407 * A052409 A052410 A052411

Keyword

nonn,nice,more

Author

Eric W. Weisstein

Extensions

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

Status

approved