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A089586 Number of arborescent (stellar-rational or prysmatic-rational) knots and links. 0
1, 2, 8, 22, 69, 182 (list; graph; refs; listen; history; internal format)
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: A137104 A178159 A137103 * A045695 A106053 A121135

Adjacent sequences:  A089583 A089584 A089585 * A089587 A089588 A089589

KEYWORD

nonn

AUTHOR

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

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Last modified February 14 03:03 EST 2012. Contains 205567 sequences.