A191716 - cp's OEIS frontend

A191716 a(n,k) equals (1/n!) multiplied by the count of permutations with cycle length k in all products u v u^-1 v^-1 over all permutations u and v of length n.

n	a(n)
1	1
2	0
3	2
4	3
5	0
6	3
7	0
8	19
9	0
10	5
11	40
12	0
13	73
14	0
15	7
16	0
17	492
18	0
19	217
20	0
21	11
22	1260
23	0
24	3225
25	0
26	540
27	0
28	15
29	0
30	24096
31	0
32	14968
33	0
34	1234
35	0
36	22
37	72576
38	0
39	232156
40	0
41	55594
42	0
43	2524
44	0
45	30
46	0
47	1922148
48	0
49	1524823
50	0
51	176800
52	0
53	4987
54	0
55	42
56	6652800
57	0
58	24999984
59	0
60	7758160
61	0
62	496680
63	0
64	9120
65	0
66	56
67	0
68	227963280
69	0
70	216975032
71	0
72	32769481
73	0
74	1277331
75	0
76	16399
77	0
78	77

[1, 0, 2, 3, 0, 3, 0, 19, 0, 5, 40, 0, 73, 0, 7, 0, 492, 0, 217, 0, 11, 1260, 0, 3225, 0, 540, 0, 15, 0, 24096, 0, 14968, 0, 1234, 0, 22, 72576, 0, 232156, 0, 55594, 0, 2524, 0, 30, 0, 1922148, 0, 1524823, 0, 176800, 0, 4987, 0, 42, 6652800, 0, 24999984, 0, 7758160, 0, 496680, 0, 9120, 0, 56, 0, 227963280, 0, 216975032, 0, 32769481, 0, 1277331, 0, 16399, 0, 77]

cp's OEIS Frontend

A191716 a(n,k) equals (1/n!) multiplied by the count of permutations with cycle length k in all products u v u^-1 v^-1 over all permutations u and v of length n.

Table of values

List of values