A059741 - OEIS

A059741

Prime unoriented alternating links with n crossings and 2 components.

0, 1, 0, 1, 1, 3, 6, 14, 42, 121, 384, 1408, 5100, 21854, 92234, 427079, 2005800, 9716848, 48184018, 241210386, 1228973463, 6301831944, 32663182521, 170407462900

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

LINKS

Table of n, a(n) for n=1..24.

S. R. Finch, Knots, links and tangles

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. 627.

Bruce Fontaine, Knots/Links

Stuart Rankin, Knot Theory Work of Ortho Flint and Stuart Rankin

M. B. Thistlethwaite, Home Page

M. B. Thistlethwaite, Numbers of knots and links with up to 19 crossings

CROSSREFS

Column 2 of A059739. Cf. A002864.

Sequence in context: A099966 A101162 A274054 * A054099 A257320 A318344

Adjacent sequences: A059738 A059739 A059740 * A059742 A059743 A059744

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Feb 10 2001

EXTENSIONS

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

a(23)-a(24) corrected using Bruce Fontaine's table by Andrey Zabolotskiy, Jun 08 2022

STATUS

approved