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A332762
Square array T(n,k), n >= 0, k >= 2, read by antidiagonals, where T(n,k) is the number of permutations of {k 1's, k 2's, ..., k n's} with the property that j's are equally spaced for j=1..n and the interval of j+1 is less than or equal to the interval of j for j=1..n-1.
5
1, 1, 1, 1, 1, 5, 1, 1, 4, 33, 1, 1, 4, 18, 329, 1, 1, 4, 16, 124, 3825, 1, 1, 4, 16, 110, 738, 57293, 1, 1, 4, 16, 104, 544, 7464, 977581, 1, 1, 4, 16, 104, 508, 5444, 55890, 19619645, 1, 1, 4, 16, 104, 484, 5136, 32520, 668778, 442155529
OFFSET
0,6
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, ...
5, 4, 4, 4, 4, ...
33, 18, 16, 16, 16, ...
329, 124, 110, 104, 104, ...
3825, 738, 544, 508, 484, ...
57293, 7464, 5444, 5136, 4968, ...
CROSSREFS
Columns k=2..5 give A322178, A332748, A332752, A332773.
T(n,n) gives A332784.
T(n,n+1) gives A332783.
Sequence in context: A179773 A244977 A071170 * A108691 A010333 A131777
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Feb 22 2020
STATUS
approved