A089586 Number of arborescent (stellar-rational or prysmatic-rational) knots and links.

1, 2, 8, 22, 69, 182

Offset

6,2

References

Conway, J. (1970) An enumeration of knots and links and some of their related properties, in Computational Problems in Abstract Algebra, Proc. Conf. Oxford 1967 (Ed. J. Leech), 329-358, Pergamon Press, New York.

Links

Table of n, a(n) for n=6..11.

A. Caudron, Classification des noeuds et des enlacements, Public. Math. d'Orsay 82. Orsay: Univ. Paris Sud, Dept. Math., 1982.

Alain Caudron, Classification des noeuds et des enlacements (Thèse et additifs), Univ. Paris-Sud, 1989 [Scanned copy, included with permission] Contains additional material.

S. V. Jablan, Ordering Knots

S. V. Jablan and Radmila Sazdanovic, LinKnot

Example

E.g. 2,2,2 for n=6, 3,2,2; 2 1,2,2 for n=7,
2,2,2,2; 3,3,2; 2 1,3,2; 2 1,2 1,2; 4,2,2; 3 1,2,2; 2 2,2,2; 2 1 1,2,2 for n=8, etc. In that list, the pretzel knots and links are included as well.

Crossrefs

Sequence in context: A262720 A321573 A137103 * A339302 A045695 A106053

Adjacent sequences: A089583 A089584 A089585 * A089587 A089588 A089589

Keyword

nonn,more

Author

Slavik Jablan and Radmila Sazdanovic, Jan 03 2004

Status

approved