%I #19 Aug 12 2022 09:18:25
%S 1,7,9,8,10,11,10,9,11,12,11,12,11,12,11,10,12,13,14,13,13,14,12,13,
%T 12,13,14,13,12,13,12,11,13,14,15,14,15,14,15,14,14,15,15,14,14,14,13,
%U 14,13,14,15,14,13,15,15,14,13,14,15,14,13,14,13,12,14,15
%N The minimal number of steps that a path-avoiding snail must take in order to have a step of length (2n-1)/2^k for some k.
%C The path-avoiding snail takes steps of unit length if doing so does not cause it to collide with its trail. If a unit length step would cause a collision, it travels halfway to its trail. After every step the snail may turn left or right or remain straight.
%H Peter Kagey, <a href="https://math.stackexchange.com/q/2678852/121988">Number of steps the path-avoiding snail must take before a step size of (2n-1)/2^k?</a>, Mathematics Stack Exchange.
%K nonn,walk
%O 1,2
%A _Peter Kagey_, Mar 05 2018