A325609 - cp's OEIS frontend

A325609 Unsorted q-signature of n!. Irregular triangle read by rows where T(n,k) is the multiplicity of q(k) in the factorization of n! into factors q(i) = prime(i)/i.

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

[1, 2, 1, 4, 1, 5, 2, 1, 7, 3, 1, 9, 3, 1, 1, 12, 3, 1, 1, 14, 5, 1, 1, 16, 6, 2, 1, 17, 7, 3, 1, 1, 20, 8, 3, 1, 1, 22, 9, 3, 1, 1, 1, 25, 9, 3, 2, 1, 1, 27, 11, 4, 2, 1, 1, 31, 11, 4, 2, 1, 1, 33, 11, 4, 3, 1, 1, 1, 36, 13, 4, 3, 1, 1, 1, 39, 13, 4, 3, 1, 1, 1, 1]

cp's OEIS Frontend

A325609 Unsorted q-signature of n!. Irregular triangle read by rows where T(n,k) is the multiplicity of q(k) in the factorization of n! into factors q(i) = prime(i)/i.

Table of values

List of values

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

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

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