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A351109 Number of simple paths for a Racetrack car (using von Neumann neighborhood) with initial velocity zero, going from one corner to the diagonally opposite corner on an n X n grid. 2
1, 0, 2, 8, 40, 1380, 211164, 205331148 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Wikipedia, Racetrack
EXAMPLE
For n = 4 the following paths, together with their reflections in the diagonal, exist. The numbers give the positions of the car after successive steps. In total, there are a(4) = 2*4 = 8 possible paths.
...3 ...4 ...4 ...5
.... ...3 ..3. ...4
..2. ..2. ..2. ...3
01.. 01.. 01.. 012.
CROSSREFS
Main diagonal of A351108.
Sequence in context: A140363 A280921 A208962 * A012597 A012534 A092354
KEYWORD
nonn,more
AUTHOR
STATUS
approved

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Last modified February 24 02:20 EST 2024. Contains 370288 sequences. (Running on oeis4.)