A211400 - cp's OEIS frontend

A211400 Rectangular array, read by upward diagonals: T(n,m) is the number of Young tableaux that can be realized as the ranks of the outer sums a_i + b_j where a = (a_1, ... a_n) and b = (b_1, ... b_m) are real monotone vectors in general position (all sums different).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	5
9	5
10	1
11	1
12	14
13	36
14	14
15	1
16	1
17	42
18	295
19	295
20	42
21	1
22	1
23	132
24	2583
25	6660
26	2583
27	132
28	1
29	1
30	429
31	23580

[1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 14, 36, 14, 1, 1, 42, 295, 295, 42, 1, 1, 132, 2583, 6660, 2583, 132, 1, 1, 429, 23580]