A060854 - cp's OEIS frontend

A060854 Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m*n in an m X n matrix so that each row and each column is increasing.

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	42
14	14
15	1
16	1
17	42
18	462
19	462
20	42
21	1
22	1
23	132
24	6006
25	24024
26	6006
27	132
28	1
29	1
30	429
31	87516
32	1662804
33	1662804
34	87516
35	429
36	1
37	1
38	1430
39	1385670
40	140229804
41	701149020
42	140229804
43	1385670
44	1430
45	1
46	1
47	4862
48	23371634
49	13672405890
50	396499770810
51	396499770810
52	13672405890
53	23371634
54	4862
55	1

[1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 14, 42, 14, 1, 1, 42, 462, 462, 42, 1, 1, 132, 6006, 24024, 6006, 132, 1, 1, 429, 87516, 1662804, 1662804, 87516, 429, 1, 1, 1430, 1385670, 140229804, 701149020, 140229804, 1385670, 1430, 1, 1, 4862, 23371634, 13672405890, 396499770810, 396499770810, 13672405890, 23371634, 4862, 1]

cp's OEIS Frontend

A060854 Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m*n in an m X n matrix so that each row and each column is increasing.

Table of values

List of values