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Prime unoriented alternating links with n crossings and 2 components.
1

%I #20 Jun 09 2022 02:26:45

%S 0,1,0,1,1,3,6,14,42,121,384,1408,5100,21854,92234,427079,2005800,

%T 9716848,48184018,241210386,1228973463,6301831944,32663182521,

%U 170407462900

%N Prime unoriented alternating links with n crossings and 2 components.

%H S. R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/">Knots, links and tangles</a>

%H S. R. Finch, <a href="/A002863/a002863_4.pdf">Knots, links and tangles</a>, Aug 08 2003. [Cached copy, with permission of the author]

%H Steven R. Finch, <a href="https://doi.org/10.1017/9781316997741">Mathematical Constants II</a>, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 627.

%H Bruce Fontaine, <a href="https://pi.math.cornell.edu/~bfontain/knots.html">Knots/Links</a>

%H Stuart Rankin, <a href="https://web.archive.org/web/20150912132830/http://www-home.math.uwo.ca/~srankin/knotprint.html">Knot Theory Work of Ortho Flint and Stuart Rankin</a>

%H M. B. Thistlethwaite, <a href="http://www.math.utk.edu/~morwen/index.html">Home Page</a>

%H M. B. Thistlethwaite, <a href="http://www.math.utk.edu/~morwen/png/link_stats.png">Numbers of knots and links with up to 19 crossings</a>

%Y Column 2 of A059739. Cf. A002864.

%K nonn,more

%O 1,6

%A _N. J. A. Sloane_, Feb 10 2001

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

%E a(23)-a(24) corrected using Bruce Fontaine's table by _Andrey Zabolotskiy_, Jun 08 2022