A308478 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.

2, 8, 44, 347, 3636

Offset: 1

Author

Bryan Bischof, May 29 2019

Keywords

• nonn
• bref
• more

Comments

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.

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.

Links

• Bryan Bischof, Roman Kogan, David Yetter, On a basis for the framed link vector space spanned by chord diagrams, arXiv: 0801.3253 [math.QA], 2008. Also Journal of Knot Theory and Its Ramifications. Vol. 18, No. 12, pp. 1663-1680 (2009).