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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 (list; graph; refs; listen; history; text; internal format)
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 half way to its trail. After every step the snail may turn left or right or remain straight.

LINKS

Table of n, a(n) for n=1..66.

Peter Kagey, Number of steps the path-avoiding snail must take before a step size of (2n-1)/2^k?,  Math Stack Exchange.

CROSSREFS

Sequence in context: A197516 A019862 A330865 * A021930 A200103 A198753

Adjacent sequences:  A300441 A300442 A300443 * A300445 A300446 A300447

KEYWORD

nonn,walk

AUTHOR

Peter Kagey, Mar 05 2018

STATUS

approved

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Last modified April 17 09:29 EDT 2021. Contains 343064 sequences. (Running on oeis4.)