A089790 Number of projections of rational knots and links with n crossings.

1, 1, 2, 3, 7, 14, 38, 98, 300, 937

Offset

2,3

References

Kirkman T.P.: The enumeration, description and construction of knots of fewer than ten crossings. Trans. Roy. Soc. Edinburgh 32 (1885), 281-309.

Tait P.G.: On knots. Trans. Roy. Soc. Edin. 28 (1876/77), 145-190.

Links

Table of n, a(n) for n=2..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.

Jablan S., Ordering Knots.

Jablan S. and Sazdanovic R., LinKnot.

Crossrefs

Cf. A005418= number of rational knots and links.

Sequence in context: A090828 A296416 A049367 * A296417 A296418 A006785

Adjacent sequences: A089787 A089788 A089789 * A089791 A089792 A089793

Keyword

nonn,more

Author

Slavik Jablan and Radmila Sazdanovic, Jan 09 2004

Status

approved