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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 Table of n, a(n) for n=1..8. 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. Cf. A007764, A351042, A351107. Sequence in context: A140363 A280921 A208962 * A012597 A012534 A092354 Adjacent sequences: A351106 A351107 A351108 * A351110 A351111 A351112 KEYWORD nonn,more AUTHOR Pontus von Brömssen, Feb 01 2022 STATUS approved

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