A224653 - cp's OEIS frontend

A224653 Irregular table which shows in row n the dimensions of the irreducible representations of the permutation group of order n!.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	2
7	3
8	1
9	4
10	5
11	6
12	1
13	5
14	9
15	10
16	16
17	1
18	6
19	14
20	15
21	20
22	21
23	35
24	1
25	7
26	14
27	20
28	21
29	28
30	35
31	42
32	56
33	64
34	70
35	90
36	1
37	8
38	27
39	28
40	42
41	48
42	56
43	70
44	84
45	105
46	120
47	162
48	168
49	189
50	216
51	1
52	9
53	35
54	36
55	42
56	75
57	84
58	90
59	126
60	160
61	210
62	225
63	252
64	288
65	300
66	315
67	350
68	448
69	450
70	525
71	567
72	768

[1, 1, 1, 1, 2, 1, 2, 3, 1, 4, 5, 6, 1, 5, 9, 10, 16, 1, 6, 14, 15, 20, 21, 35, 1, 7, 14, 20, 21, 28, 35, 42, 56, 64, 70, 90, 1, 8, 27, 28, 42, 48, 56, 70, 84, 105, 120, 162, 168, 189, 216, 1, 9, 35, 36, 42, 75, 84, 90, 126, 160, 210, 225, 252, 288, 300, 315, 350, 448, 450, 525, 567, 768]

cp's OEIS Frontend

A224653 Irregular table which shows in row n the dimensions of the irreducible representations of the permutation group of order n!.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	2
7	3
8	1
9	4
10	5
11	6
12	1
13	5
14	9
15	10
16	16
17	1
18	6
19	14
20	15
21	20
22	21
23	35
24	1
25	7
26	14
27	20
28	21
29	28
30	35
31	42
32	56
33	64
34	70
35	90
36	1
37	8
38	27
39	28
40	42
41	48
42	56
43	70
44	84
45	105
46	120
47	162
48	168
49	189
50	216
51	1
52	9
53	35
54	36
55	42
56	75
57	84
58	90
59	126
60	160
61	210
62	225
63	252
64	288
65	300
66	315
67	350
68	448
69	450
70	525
71	567
72	768

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	2
7	3
8	1
9	4
10	5
11	6
12	1
13	5
14	9
15	10
16	16
17	1
18	6
19	14
20	15
21	20
22	21
23	35
24	1
25	7
26	14
27	20
28	21
29	28
30	35
31	42
32	56
33	64
34	70
35	90
36	1
37	8
38	27
39	28
40	42
41	48
42	56
43	70
44	84
45	105
46	120
47	162
48	168
49	189
50	216
51	1
52	9
53	35
54	36
55	42
56	75
57	84
58	90
59	126
60	160
61	210
62	225
63	252
64	288
65	300
66	315
67	350
68	448
69	450
70	525
71	567
72	768

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	2
7	3
8	1
9	4
10	5
11	6
12	1
13	5
14	9
15	10
16	16
17	1
18	6
19	14
20	15
21	20
22	21
23	35
24	1
25	7
26	14
27	20
28	21
29	28
30	35
31	42
32	56
33	64
34	70
35	90
36	1
37	8
38	27
39	28
40	42
41	48
42	56
43	70
44	84
45	105
46	120
47	162
48	168
49	189
50	216
51	1
52	9
53	35
54	36
55	42
56	75
57	84
58	90
59	126
60	160
61	210
62	225
63	252
64	288
65	300
66	315
67	350
68	448
69	450
70	525
71	567
72	768