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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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.

Bar-Natan, Dror, On the Vassiliev Knot Invariants, Topology 34 (1995) 423-472.

D. Bar-Natan, Bibliography of Vassiliev Invariants

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

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.

Index entries for sequences related to knots

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

Adjacent sequences:  A007470 A007471 A007472 * A007474 A007475 A007476

KEYWORD

hard,nonn,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

Description corrected by Sergei Duzhin, Aug 29 2000

STATUS

approved

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Last modified December 9 03:42 EST 2021. Contains 349625 sequences. (Running on oeis4.)