The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A059741 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)