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A359575
Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with a path of adjacent 1's from upper right corner to lower left corner.
6
1, 1, 1, 1, 3, 1, 1, 8, 8, 1, 1, 20, 51, 20, 1, 1, 49, 295, 295, 49, 1, 1, 119, 1632, 3828, 1632, 119, 1, 1, 288, 8830, 46557, 46557, 8830, 288, 1, 1, 696, 47239, 546286, 1225194, 546286, 47239, 696, 1, 1, 1681, 251261, 6279393, 30754544, 30754544, 6279393, 251261, 1681, 1
OFFSET
1,5
FORMULA
T(m,n) = T(n,m).
EXAMPLE
Array begins:
================================================================
m\n| 1 2 3 4 5 6 7
---+------------------------------------------------------------
1 | 1 1 1 1 1 1 1 ...
2 | 1 3 8 20 49 119 288 ...
3 | 1 8 51 295 1632 8830 47239 ...
4 | 1 20 295 3828 46557 546286 6279393 ...
5 | 1 49 1632 46557 1225194 30754544 749866185 ...
6 | 1 119 8830 546286 30754544 1636193228 83949041929 ...
7 | 1 288 47239 6279393 749866185 83949041929 9009490924794 ...
...
CROSSREFS
Main diagonal is A069343.
Rows 1..20 are A000012, A048739(n-1), A069325, A069326, A069327-A069342.
Sequence in context: A174117 A157210 A359573 * A034801 A331890 A102435
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Jan 06 2023
STATUS
approved