cp's OEIS Frontend

A007478 Dimension of primitive Vassiliev knot invariants of order n.

%I A007478 M0688 #38 Jan 24 2025 20:25:21
%S A007478 1,1,1,1,2,3,5,8,12,18,27,39,55
%N A007478 Dimension of primitive Vassiliev knot invariants of order n.
%C A007478 Next term is at least 78. - Jan Kneissler jk(AT)math.uni-bonn.de, Sep 1997
%D A007478 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A007478 D. Bar-Natan, <a href="http://dx.doi.org/10.1016/0040-9383(95)93237-2">On the Vassiliev Knot Invariants</a>, Topology 34 (1995) 423-472.
%H A007478 D. Bar-Natan, <a href="http://www.pdmi.ras.ru/~duzhin/VasBib/">Bibliography of Vassiliev Invariants</a>.
%H A007478 Joan S. Birman, <a href="https://doi.org/10.1090/S0273-0979-1993-00389-6">New points of view in knot theory</a>, Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 253-287; <a href="https://web.archive.org/web/20070527131321 /http://www.ams.org/journals/bull/pre-1996-data/199328-2/Birman">TeX source</a>.
%H A007478 D. J. Broadhurst, <a href="https://arxiv.org/abs/q-alg/9709031">Conjectured enumeration of Vassiliev invariants</a>, arXiv:q-alg/9709031, 1997.
%H A007478 S. Chmutov and S. Duzhin, <a href="http://dx.doi.org/10.1016/S0166-8641(97)00249-6">A lower bound for the number of Vassiliev knot invariants</a>, Topology and its Applications, Volume 92, Number 3, 14 April 1999, pp. 201-223(23).
%H A007478 Jan Kneissler, <a href="https://arxiv.org/abs/q-alg/9706022">The number of primitive Vassiliev invariants of degree up to 12</a>, arXiv:q-alg/9706022, 1997.
%H A007478 T. Ohtsuki (ed.), <a href="http://arxiv.org/abs/math/0406190">Problems on invariants of knots and 3-manifolds</a>, arXiv:math/0406190 [math.GT], (2004); see Table 2 on p.407.
%H A007478 <a href="/index/K#knots">Index entries for sequences related to knots</a>
%F A007478 Broadhurst gives a conjectured g.f.
%Y A007478 Cf. A007473, A014605.
%K A007478 hard,more,nonn,nice
%O A007478 0,5
%A A007478 _N. J. A. Sloane_