A089791 Number of projections of rational knots with n crossings.

1, 1, 2, 3, 10, 20, 68, 182, 618

Offset

3,3

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=3..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. A018240=number of rational knots.

Sequence in context: A148053 A148054 A148055 * A297872 A298135 A226356

Adjacent sequences: A089788 A089789 A089790 * A089792 A089793 A089794

Keyword

nonn,more

Author

Slavik Jablan and Radmila Sazdanovic, Jan 09 2004

Status

approved