A007293 Dimension of space of weight systems of chord diagrams. (Formerly M2356)

1, 0, 1, 1, 3, 4, 9, 14, 27, 44, 80, 132, 232

Offset

0,5

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.

J. S. Birman, Letter to N. J. A. Sloane, Apr 09 1994

J. S. Birman, New points of view in knot theory.. Bulletin of the American Mathematical Society 28.2 (1993): 253-287.

D. J. Broadhurst, Conjectured enumeration of Vassiliev invariants.

Jan Kneissler, The number of primitive Vassiliev invariants of degree up to 12

T. Ohtsuki (ed.), Problems on invariants of knots and 3-manifolds, arXiv:math/0406190 [math.GT], (2004); see Table 3 on p.408.

Evert Stenlund, On the Vassiliev Invariants, June 2017.

S. D. Tyurina, Diagram invariants of knots and the Kontsevich integral, J. Math. Sci. 134 (2) (2006) 2017-2017, Table 1.

Index entries for sequences related to knots

Formula

Broadhurst gives a conjectured g.f.

Crossrefs

Cf. A007473, A007478.

Cf. A014596.

Sequence in context: A376535 A095292 A263821 * A014596 A002823 A109509

Adjacent sequences: A007290 A007291 A007292 * A007294 A007295 A007296

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Description corrected by Sergei Duzhin, Aug 29 2000

Status

approved