A324224 - cp's OEIS frontend

A324224 Total number T(n,k) of 1's in falling diagonals with index k in all n X n permutation matrices divided by |k|!; triangle T(n,k), n>=1, 1-n<=k<=n-1, read by rows.

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	4
7	6
8	4
9	1
10	1
11	6
12	18
13	24
14	18
15	6
16	1
17	1
18	8
19	36
20	96
21	120
22	96
23	36
24	8
25	1
26	1
27	10
28	60
29	240
30	600
31	720
32	600
33	240
34	60
35	10
36	1
37	1
38	12
39	90
40	480
41	1800
42	4320
43	5040
44	4320
45	1800
46	480
47	90
48	12
49	1
50	1
51	14
52	126
53	840
54	4200
55	15120
56	35280
57	40320
58	35280
59	15120
60	4200
61	840
62	126
63	14
64	1

[1, 1, 2, 1, 1, 4, 6, 4, 1, 1, 6, 18, 24, 18, 6, 1, 1, 8, 36, 96, 120, 96, 36, 8, 1, 1, 10, 60, 240, 600, 720, 600, 240, 60, 10, 1, 1, 12, 90, 480, 1800, 4320, 5040, 4320, 1800, 480, 90, 12, 1, 1, 14, 126, 840, 4200, 15120, 35280, 40320, 35280, 15120, 4200, 840, 126, 14, 1]

cp's OEIS Frontend

A324224 Total number T(n,k) of 1's in falling diagonals with index k in all n X n permutation matrices divided by |k|!; triangle T(n,k), n>=1, 1-n<=k<=n-1, read by rows.

Table of values

List of values