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A051765 Number of prime satellite knots with n crossings. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 10, 29, 86, 245 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,13
COMMENTS
Weisstein says that Hoste et al. said that all satellite knots are prime, but actually they didn't say it about all satellite knots; moreover, the conventional definition of satellite knots implies that all composite knots are satellite. - Andrey Zabolotskiy, Nov 25 2021
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.
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
Eric Weisstein's World of Mathematics, Knot
Eric Weisstein's World of Mathematics, Satellite Knot
CROSSREFS
Sequence in context: A265639 A208900 A229733 * A265987 A076907 A260785
KEYWORD
nonn,nice,more
AUTHOR
EXTENSIONS
a(17)-a(19) from Burton's data added by Andrey Zabolotskiy, Nov 25 2021
STATUS
approved

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Last modified March 19 04:26 EDT 2024. Contains 370952 sequences. (Running on oeis4.)