A074881 - cp's OEIS frontend

A074881 Triangle T(n,k) giving number of labeled cyclic subgroups of order k in symmetric group S_n, n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.

n	a(n)
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	9
9	4
10	3
11	1
12	25
13	10
14	15
15	6
16	10
17	1
18	75
19	40
20	90
21	36
22	120
23	1
24	231
25	175
26	420
27	126
28	735
29	120
30	126
31	105
32	1
33	763
34	616
35	2730
36	336
37	5320
38	960
39	1260
40	1008
41	840
42	336
43	1
44	2619
45	2884
46	15498
47	756
48	41580
49	4320
50	11340
51	6720
52	6804
53	7560
54	4320
55	3024
56	2268

[1, 1, 1, 1, 3, 1, 1, 9, 4, 3, 1, 25, 10, 15, 6, 10, 1, 75, 40, 90, 36, 120, 1, 231, 175, 420, 126, 735, 120, 126, 105, 1, 763, 616, 2730, 336, 5320, 960, 1260, 1008, 840, 336, 1, 2619, 2884, 15498, 756, 41580, 4320, 11340, 6720, 6804, 7560, 4320, 3024, 2268]

cp's OEIS Frontend

A074881 Triangle T(n,k) giving number of labeled cyclic subgroups of order k in symmetric group S_n, n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.

Table of values

List of values