OFFSET
0,3
LINKS
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, Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 253-287.
D. J. Broadhurst, Conjectured enumeration of Vassiliev invariants, arXiv:q-alg/9709031, 1997 [different conjectured values].
Jan Kneissler, The number of primitive Vassiliev invariants of degree up to 12, arXiv:q-alg/9706022, 1997.
FORMULA
G.f.: Product_{ m >= 1 } (1-y^m)^(-A014605(m)). - Andrey Zabolotskiy, Sep 15 2017
MATHEMATICA
terms = 40; QP = QPochhammer; A014605 = Join[{1, 0, 0, 0}, CoefficientList[ QP[q^4]/QP[q] + O[q]^terms, q]] // Accumulate;
gf = Product[(1 - y^m)^(-A014605[[m+1]]), {m, 1, terms}] + O[y]^terms;
CoefficientList[gf, y] (* Jean-François Alcover, Jul 21 2018 *)
CROSSREFS
Cf. A014605 (conjectured to agree with A007478), A014596 (first differences, conjectured to agree with A007293). This sequences is conjectured to agree with A007473. All these (equivalent) conjectures are probably wrong since Jan Kneissler states that A007478(13) >= 78 (see A007478), while A014605(13)=77.
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Joerg Arndt, Sep 19 2017
STATUS
approved