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A366399 Triangle read by rows: T(n,k) is the number of paths traveling orthogonally on an n X k grid that visit every cell. 1
1, 1, 4, 1, 8, 20, 1, 14, 62, 276, 1, 22, 132, 1006, 4324, 1, 32, 336, 3610, 26996, 229348, 1, 44, 688, 12010, 109722, 1620034, 13535280, 1, 58, 1578, 38984, 602804, 12071462, 175905310, 3023313284, 1, 74, 3190, 122188, 2434670, 82550864, 1449655468, 43551685370, 745416341496 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
EXAMPLE
T(n,k) is a triangular array read by rows:
1,
1, 4,
1, 8, 20,
1, 14, 62, 276,
...
T(2,2) = 4:
+---+---+ +---+---+ +---+---+ +---+---+
| | | | | | | | | | | |
| **|** | | * | * | | **|** | | **|** |
| | * | | * | * | | * | | | * | * |
+---+---+ +---+---+ +---+---+ +---+---+
| | * | | * | * | | * | | | * | * |
| **|** | | **|** | | **|** | | * | * |
| | | | | | | | | | | |
+---+---+ +---+---+ +---+---+ +---+---+
CROSSREFS
See A332307 for another version.
Cf. A120443 (T(n,n)), A366411 (row sums).
Sequence in context: A013611 A297194 A077910 * A100235 A089072 A348595
KEYWORD
tabl,nonn,walk
AUTHOR
Douglas Boffey, Oct 09 2023
EXTENSIONS
More terms (using A332307) from Pontus von Brömssen, Oct 09 2023
STATUS
approved

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Last modified March 1 09:35 EST 2024. Contains 370432 sequences. (Running on oeis4.)