Self-avoiding walks on the face-centred cubic lattice

The generating function C(x) for the number of self-avoiding walks on the face-centred cubic lattice is extended by two terms to order 14. The series coefficients are analysed for a singularity of the form A1t- gamma +A2t- gamma +1+Bt- gamma + Delta 1 with t=1- mu x, where mu is the connective constant. Two cases of interest are studied, (a) gamma =11/6, B=0 is conjectured in earlier work on series expansions and (b) gamma =1.1615, Delta 1=0.465 as predicted by renormalisation group (RG) calculations. It is found that the series coefficients are better fitted to the RG predictions (b).