A332762 - OEIS

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.

%I #16 Mar 01 2020 03:15:37

%S 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,

%T 57293,1,1,4,16,104,544,7464,977581,1,1,4,16,104,508,5444,55890,

%U 19619645,1,1,4,16,104,484,5136,32520,668778,442155529

%N 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.

%e Square array begins:

%e 1, 1, 1, 1, 1, ...

%e 5, 4, 4, 4, 4, ...

%e 33, 18, 16, 16, 16, ...

%e 329, 124, 110, 104, 104, ...

%e 3825, 738, 544, 508, 484, ...

%e 57293, 7464, 5444, 5136, 4968, ...

%Y Columns k=2..5 give A322178, A332748, A332752, A332773.

%Y T(n,n) gives A332784.

%Y T(n,n+1) gives A332783.

%K nonn,tabl

%O 0,6

%A _Seiichi Manyama_, Feb 22 2020