A221623 - cp's OEIS frontend

A221623 T(n,k)=Number of nXk arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row.

n	a(n)
1	1
2	2
3	1
4	6
5	3
6	1
7	24
8	27
9	4
10	1
11	120
12	410
13	112
14	5
15	1
16	720
17	10055
18	6120
19	453
20	6
21	1
22	5040
23	353654
24	738150
25	85035
26	1818
27	7
28	1
29	40320
30	17052210
31	148700748
32	51149685
33	1130256
34	7279
35	8
36	1
37	362880
38	1075295220
39	49096652080
40	57614883627
41	3451956516
42	14576404

[1, 2, 1, 6, 3, 1, 24, 27, 4, 1, 120, 410, 112, 5, 1, 720, 10055, 6120, 453, 6, 1, 5040, 353654, 738150, 85035, 1818, 7, 1, 40320, 17052210, 148700748, 51149685, 1130256, 7279, 8, 1, 362880, 1075295220, 49096652080, 57614883627, 3451956516, 14576404]

cp's OEIS Frontend

A221623 T(n,k)=Number of nXk arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row.

Table of values

List of values