A243748 - cp's OEIS frontend

A243748 Irregular triangle read by rows where T(n,k) is the number of subgroups of order d of the symmetric group S_n, where d is the k-th divisor of n!.

n	a(n)
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	1
9	9
10	4
11	7
12	4
13	3
14	1
15	1
16	1
17	25
18	10
19	35
20	6
21	30
22	15
23	6
24	15
25	0
26	6
27	5
28	0
29	0
30	1
31	1
32	1
33	75
34	40
35	255
36	36
37	280
38	255
39	10
40	36
41	150
42	0
43	45
44	50
45	36
46	90
47	0
48	30
49	0
50	0
51	30
52	12
53	10
54	0
55	0
56	12
57	0
58	0
59	0
60	1
61	1
62	1
63	231
64	175
65	1295
66	126
67	1645
68	120
69	1575
70	70
71	378
72	1715
73	120
74	0
75	315
76	350
77	378
78	120
79	1435
80	0
81	0
82	0
83	245
84	126
85	120
86	0

[1, 1, 1, 1, 3, 1, 1, 1, 9, 4, 7, 4, 3, 1, 1, 1, 25, 10, 35, 6, 30, 15, 6, 15, 0, 6, 5, 0, 0, 1, 1, 1, 75, 40, 255, 36, 280, 255, 10, 36, 150, 0, 45, 50, 36, 90, 0, 30, 0, 0, 30, 12, 10, 0, 0, 12, 0, 0, 0, 1, 1, 1, 231, 175, 1295, 126, 1645, 120, 1575, 70, 378, 1715, 120, 0, 315, 350, 378, 120, 1435, 0, 0, 0, 245, 126, 120, 0]

cp's OEIS Frontend

A243748 Irregular triangle read by rows where T(n,k) is the number of subgroups of order d of the symmetric group S_n, where d is the k-th divisor of n!.

Table of values

List of values