%N a(n) = sum of the dimensions of the rational spans of all connected chord diagrams with n chords and any number m of link components, modulo all instances of the 4T-relation.
%C These numbers were generated as part of a proof of the dimensionality of the larger space of disconnected chord diagrams modulo 4T, and the code/combinatorics are provided in the paper.
%C At the time, computation was an issue but now it's likely the methods could be used to generate more terms. No generating function is known.
%H Bryan Bischof, Roman Kogan, David Yetter, <a href="https://arxiv.org/abs/0801.3253">On a basis for the framed link vector space spanned by chord diagrams</a>, arXiv: 0801.3253 [math.QA], 2008. Also Journal of Knot Theory and Its Ramifications. Vol. 18, No. 12, pp. 1663-1680 (2009).
%A _Bryan Bischof_, May 29 2019