A348075 - cp's OEIS frontend

A348075 Triangular array read by rows: T(n,k) is the number of derangements whose shortest cycle has exactly k nodes; n >= 1, 1 <= k <= n.

n	a(n)
1	0
2	0
3	1
4	0
5	0
6	2
7	0
8	3
9	0
10	6
11	0
12	20
13	0
14	0
15	24
16	0
17	105
18	40
19	0
20	0
21	120
22	0
23	714
24	420
25	0
26	0
27	0
28	720
29	0
30	5845
31	2688
32	1260
33	0
34	0
35	0
36	5040
37	0
38	52632
39	22400
40	18144
41	0
42	0
43	0
44	0
45	40320
46	0
47	525105
48	223200
49	151200
50	72576
51	0
52	0
53	0
54	0
55	362880
56	0
57	5777090
58	2522520
59	1425600
60	1330560
61	0
62	0
63	0
64	0
65	0
66	3628800

[0, 0, 1, 0, 0, 2, 0, 3, 0, 6, 0, 20, 0, 0, 24, 0, 105, 40, 0, 0, 120, 0, 714, 420, 0, 0, 0, 720, 0, 5845, 2688, 1260, 0, 0, 0, 5040, 0, 52632, 22400, 18144, 0, 0, 0, 0, 40320, 0, 525105, 223200, 151200, 72576, 0, 0, 0, 0, 362880, 0, 5777090, 2522520, 1425600, 1330560, 0, 0, 0, 0, 0, 3628800]

cp's OEIS Frontend

A348075 Triangular array read by rows: T(n,k) is the number of derangements whose shortest cycle has exactly k nodes; n >= 1, 1 <= k <= n.

Table of values

List of values