Search: id:A007478
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%I A007478 M0688
%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.
%D A007478 S. Chmutov and S. Duzhin, A lower bound for the number of Vassiliev knot 
               invariants, Topology and its Applications, Volume 92, Number 3, 14 
               April 1999, pp. 201-223(23)
%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://www.ma.huji.ac.il/~drorbn/papers/OnVassiliev/
               ">On the Vassiliev Knot Invariants</a>, Topology 34 (1995) 423-472.
%H A007478 D. Bar-Natan, <a href="http://www.ma.huji.ac.il/~drorbn/VasBib/VasBib.html">
               Bibliography of Vassiliev Invariants</a>
%H A007478 Birman, Joan S., <a href="http://www.ams.org/journals/bull/pre-1996-data/
               199328-2/Birman">New points of view in knot theory (amstex)</a>, 
               Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 253-287.
%H A007478 D. J. Broadhurst, <a href="http://arXiv.org/abs/q-alg/9709031">Conjectured 
               enumeration of Vassiliev invariants.</a>
%H A007478 Jan Kneissler, <a href="http://arxiv.org/pdf/q-alg/9706022v1">The number 
               of primitive Vassiliev invariants of degree up to 12</a>
%F A007478 Broadhurst gives a conjectured g.f.
%F A007478 Lim [n -> infinity] a(n) = n log n [Chmutov and Duzhin] - Jonathan Vos 
               Post (jvospost3(AT)gmail.com), Jul 24 2008
%Y A007478 Cf. A014605.
%Y A007478 Cf. A014605, A050504.
%Y A007478 Sequence in context: A001524 A136275 A078408 this_sequence A014605 A132842 
               A063978
%Y A007478 Adjacent sequences: A007475 A007476 A007477 this_sequence A007479 A007480 
               A007481
%K A007478 hard,nonn,nice
%O A007478 0,5
%A A007478 N. J. A. Sloane (njas(AT)research.att.com).
%E A007478 Next term is at least 78 (Jan Kneissler jk(AT)math.uni-bonn.de 9/97)

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