%0 Journal Article %T A Transfer Matrix approach to the Enumeration of Knots %A Jesper L. Jacobsen %A Paul Zinn-Justin %J Physics %D 2001 %I arXiv %X We propose a new method to enumerate alternating knots using a transfer matrix approach. We apply it to count numerically various objects, including prime alternating tangles with two connected components, up to order 18--22, and comment on the large-order behavior in connection with one of the authors' conjecture. %U http://arxiv.org/abs/math-ph/0102015v4