%I #31 Jun 10 2022 07:34:41
%S 0,0,0,0,0,0,0,0,0,0,0,0,2,2,6,10,29,86,245
%N Number of prime satellite knots with n crossings.
%C 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
%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 Andrei Malyutin, <a href="http://arxiv.org/abs/1612.03368">On the question of genericity of hyperbolic knots</a>, arXiv preprint arXiv:1612.03368 [math.GT], 2016.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HyperbolicKnot.html">Hyperbolic Knot</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Knot.html">Knot</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SatelliteKnot.html">Satellite Knot</a>
%Y Cf. A002863, A051764, A052408, A086825.
%K nonn,nice,more
%O 1,13
%A _Eric W. Weisstein_
%E a(17)-a(19) from Burton's data added by _Andrey Zabolotskiy_, Nov 25 2021
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