A072606 Number of pretzel (stellar or prismatic) knots and links.

1, 1, 3, 4, 8, 10, 19, 24

Offset

6,3

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..13.

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. knots and links given in Conway notation as 2,2,2 for n=6, 3,2,2 for n=7, 2,2,2,2; 3,3,2; 4,2,2 for n=8, etc.

Crossrefs

Sequence in context: A326636 A210249 A233771 * A098764 A105407 A222395

Adjacent sequences: A072603 A072604 A072605 * A072607 A072608 A072609

Keyword

nonn,more

Author

Slavik Jablan and Radmila Sazdanovic, Jan 03 2004

Status

approved