A049344 Prime unoriented alternating links (not necessarily connected knots) with n crossings.
0, 1, 1, 2, 3, 8, 14, 39, 96, 297, 915, 3308, 12417, 51347, 222595, 1016975, 4799520, 23301779, 115405815, 581071711, 2963793396, 15283327150, 79544488072, 417377448058
Offset: 1
Links
- S. R. Finch, Knots, links and tangles [dead link]
- S. R. Finch, Knots, links and tangles, Aug 08 2003. [Cached copy, with permission of the author]
- Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 626.
- Bruce Fontaine, Knots/Links
- Stavros Garoufalidis and Thao Vuong, Alternating knots, planar graphs, and q-series, The Ramanujan Journal 36.3 (2015): 501-527; arXiv:1304.1071 [math.GT], 2013. See (28).
Extensions
a(20)-a(24) from Bruce Fontaine's table (produced by him together with Stuart Rankin and Ortho Flint in 2007) added by Andrey Zabolotskiy, Jun 08 2022