A007478 Dimension of primitive Vassiliev knot invariants of order n. (Formerly M0688)

1, 1, 1, 1, 2, 3, 5, 8, 12, 18, 27, 39, 55

Offset

0,5

Comments

Next term is at least 78. - Jan Kneissler jk(AT)math.uni-bonn.de, Sep 1997

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

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.

Joan S. Birman, New points of view in knot theory, Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 253-287; TeX source.

D. J. Broadhurst, Conjectured enumeration of Vassiliev invariants, arXiv:q-alg/9709031, 1997.

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).

Jan Kneissler, The number of primitive Vassiliev invariants of degree up to 12, arXiv:q-alg/9706022, 1997.

T. Ohtsuki (ed.), Problems on invariants of knots and 3-manifolds, arXiv:math/0406190 [math.GT], (2004); see Table 2 on p.407.

Index entries for sequences related to knots

Formula

Broadhurst gives a conjectured g.f.

Crossrefs

Cf. A014605, A050504.

Sequence in context: A344002 A328170 A078408 * A014605 A365828 A232477

Adjacent sequences: A007475 A007476 A007477 * A007479 A007480 A007481

Keyword

hard,more,nonn,nice

Author

N. J. A. Sloane

Status

approved