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A089586 Number of arborescent (stellar-rational or prysmatic-rational) knots and links. +0
1
1, 2, 8, 22, 69, 182 (list; graph; listen)
OFFSET

6,2

REFERENCES

Caudron, A. (1982) Classification des noeuds et des enlancements, Public. Math. d'Orsay 82. Univ. Paris Sud, Dept. Math., Orsay.

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

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: A102880 A137104 A137103 this_sequence A045695 A106053 A121135

Adjacent sequences: A089583 A089584 A089585 this_sequence A089587 A089588 A089589

KEYWORD

nonn

AUTHOR

Slavik Jablan and Radmila Sazdanovic (jablans(AT)yahoo.com), Jan 03 2004

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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