A057731 - cp's OEIS frontend

A057731 Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for 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	2
7	1
8	9
9	8
10	6
11	1
12	25
13	20
14	30
15	24
16	20
17	1
18	75
19	80
20	180
21	144
22	240
23	1
24	231
25	350
26	840
27	504
28	1470
29	720
30	0
31	0
32	504
33	0
34	420
35	1
36	763
37	1232
38	5460
39	1344
40	10640
41	5760
42	5040
43	0
44	4032
45	0
46	3360
47	0
48	0
49	2688
50	1
51	2619
52	5768
53	30996
54	3024
55	83160
56	25920
57	45360
58	40320
59	27216
60	0
61	30240
62	0
63	25920
64	24192
65	0
66	0
67	0
68	0
69	18144

[1, 1, 1, 1, 3, 2, 1, 9, 8, 6, 1, 25, 20, 30, 24, 20, 1, 75, 80, 180, 144, 240, 1, 231, 350, 840, 504, 1470, 720, 0, 0, 504, 0, 420, 1, 763, 1232, 5460, 1344, 10640, 5760, 5040, 0, 4032, 0, 3360, 0, 0, 2688, 1, 2619, 5768, 30996, 3024, 83160, 25920, 45360, 40320, 27216, 0, 30240, 0, 25920, 24192, 0, 0, 0, 0, 18144]

cp's OEIS Frontend

A057731 Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.

Table of values

List of values