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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
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
KEYWORD
nonn,tabl,more
AUTHOR
STATUS
approved

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