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A300444
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.
0
1, 7, 9, 8, 10, 11, 10, 9, 11, 12, 11, 12, 11, 12, 11, 10, 12, 13, 14, 13, 13, 14, 12, 13, 12, 13, 14, 13, 12, 13, 12, 11, 13, 14, 15, 14, 15, 14, 15, 14, 14, 15, 15, 14, 14, 14, 13, 14, 13, 14, 15, 14, 13, 15, 15, 14, 13, 14, 15, 14, 13, 14, 13, 12, 14, 15
OFFSET
1,2
COMMENTS
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.
CROSSREFS
Sequence in context: A197516 A019862 A330865 * A363377 A371135 A021930
KEYWORD
nonn,walk
AUTHOR
Peter Kagey, Mar 05 2018
STATUS
approved