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A007478
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Dimension of primitive Vassiliev knot invariants of order n.
(Formerly M0688)
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4
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1, 1, 1, 1, 2, 3, 5, 8, 12, 18, 27, 39, 55
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,5
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REFERENCES
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S. Chmutov and S. Duzhin, A lower bound for the number of Vassiliev knot invariants, Topology and its Applications, Volume 92, Number 3, 14 April 1999, pp. 201-223(23)
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Table of n, a(n) for n=0..12.
D. Bar-Natan, On the Vassiliev Knot Invariants, Topology 34 (1995) 423-472.
D. Bar-Natan, Bibliography of Vassiliev Invariants
Birman, Joan S., New points of view in knot theory (amstex), Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 253-287.
D. J. Broadhurst, Conjectured enumeration of Vassiliev invariants.
Jan Kneissler, The number of primitive Vassiliev invariants of degree up to 12
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FORMULA
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Broadhurst gives a conjectured g.f.
Lim [n -> infinity] a(n) = n log n [Chmutov and Duzhin] - Jonathan Vos Post, Jul 24 2008
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CROSSREFS
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Cf. A014605.
Cf. A014605, A050504.
Sequence in context: A001524 A136275 A078408 * A014605 A132842 A063978
Adjacent sequences: A007475 A007476 A007477 * A007479 A007480 A007481
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KEYWORD
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hard,nonn,nice
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Next term is at least 78 (Jan Kneissler jk(AT)math.uni-bonn.de 9/97)
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STATUS
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approved
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