A378163 - cp's OEIS frontend

A378163 Triangle read by rows: T(n,k) is the number of subgroups of S_n isomorphic to S_k, where S_n is the n-th symmetric group.

n	a(n)
1	1
2	1
3	1
4	1
5	3
6	1
7	1
8	9
9	4
10	1
11	1
12	25
13	20
14	5
15	1
16	1
17	75
18	160
19	60
20	12
21	1
22	1
23	231
24	910
25	560
26	84
27	7
28	1
29	1
30	763
31	5936
32	5740
33	560
34	56
35	8
36	1
37	1
38	2619
39	53424
40	58716
41	3276
42	336
43	72
44	9
45	1
46	1
47	9495
48	397440
49	734160
50	79632
51	4620
52	480
53	90
54	10
55	1
56	1
57	35695
58	3304620
59	8337120
60	1105104
61	39732
62	3300
63	660
64	110
65	11
66	1
67	1
68	140151
69	35023120
70	133212420
71	16571808
72	1400784
73	20592
74	4950
75	880
76	132
77	12
78	1
79	1
80	568503
81	322852816
82	1769490580
83	176344740
84	16253952
85	130416
86	33462
87	7150
88	1144
89	156
90	13
91	1

[1, 1, 1, 1, 3, 1, 1, 9, 4, 1, 1, 25, 20, 5, 1, 1, 75, 160, 60, 12, 1, 1, 231, 910, 560, 84, 7, 1, 1, 763, 5936, 5740, 560, 56, 8, 1, 1, 2619, 53424, 58716, 3276, 336, 72, 9, 1, 1, 9495, 397440, 734160, 79632, 4620, 480, 90, 10, 1, 1, 35695, 3304620, 8337120, 1105104, 39732, 3300, 660, 110, 11, 1, 1, 140151, 35023120, 133212420, 16571808, 1400784, 20592, 4950, 880, 132, 12, 1, 1, 568503, 322852816, 1769490580, 176344740, 16253952, 130416, 33462, 7150, 1144, 156, 13, 1]

cp's OEIS Frontend

A378163 Triangle read by rows: T(n,k) is the number of subgroups of S_n isomorphic to S_k, where S_n is the n-th symmetric group.

Table of values

List of values