Abstract
New data and analysis of a 51-term series for self-avoiding walks on the (anisotropic) square lattice is given. Analysis of the series provides compelling evidence that the generating function for walks cannot be written as an algebraic or $D$-finite function and that the correction-to-scaling exponent is $\ensuremath{\Delta}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\frac{3}{2}.$
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