[go: up one dir, main page]

login
A007473
Dimension of space of Vassiliev knot invariants of order n.
(Formerly M0765)
2
1, 1, 2, 3, 6, 10, 19, 33, 60, 104, 184, 316, 548
OFFSET
0,3
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Dror Bar-Natan, On the Vassiliev Knot Invariants, Topology 34 (1995) 423-472.
D. J. Broadhurst, Conjectured enumeration of Vassiliev invariants, arXiv:q-alg/9709031, 1997.
Maksim Karev, On the primitive subspace of Lando framed graph bialgebra, arXiv:2307.00468 [math.CO], 2023.
Jan Kneissler, The number of primitive Vassiliev invariants of degree up to 12, arXiv:q-alg/9706022, 1997.
Eric Weisstein's World of Mathematics, Vassiliev Invariant.
FORMULA
G.f.: Product_{ m >= 1 } (1-y^m)^(-A007478(m)). - Andrey Zabolotskiy, Sep 19 2017
Broadhurst gives a conjectured explicit g.f. (different from A014595).
CROSSREFS
Cf. A007293 (first differences), A007478, A014595 (conjectured continuation).
Sequence in context: A191518 A217382 A244742 * A014595 A079959 A282583
KEYWORD
hard,nonn,nice
EXTENSIONS
Description corrected by Sergei Duzhin, Aug 29 2000
STATUS
approved