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 A351108 Triangle read by rows: T(m,n) is the 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 m X n grid, 1 <= n <= m. 2
 1, 1, 0, 1, 1, 2, 2, 2, 3, 8, 3, 3, 7, 12, 40, 5, 7, 13, 26, 160, 1380, 9, 13, 28, 61, 918, 12940, 211164, 14, 27, 61, 161, 7260, 142453, 4997155, 205331148 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 LINKS Table of n, a(n) for n=1..36. Wikipedia, Racetrack EXAMPLE Triangle begins: m\n| 1 2 3 4 5 6 7 8 ---+------------------------------------------- 1 | 1 2 | 1 0 3 | 1 1 2 4 | 2 2 3 8 5 | 3 3 7 12 40 6 | 5 7 13 26 160 1380 7 | 9 13 28 61 918 12940 211164 8 | 14 27 61 161 7260 142453 4997155 205331148 CROSSREFS Cf. A064297, A291896 (column n=1), A351042, A351106, A351109 (main diagonal). Sequence in context: A134890 A101360 A270371 * A184311 A110910 A119532 Adjacent sequences: A351105 A351106 A351107 * A351109 A351110 A351111 KEYWORD nonn,tabl,more AUTHOR Pontus von Brömssen, Feb 01 2022 STATUS approved

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Last modified May 24 07:02 EDT 2024. Contains 372772 sequences. (Running on oeis4.)