A353068 - cp's OEIS frontend

A353068 Irregular triangle read by rows: T(n,k) = n - multiplicity of prime(k) as a divisor of n!.

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

[1, 2, 2, 1, 3, 2, 4, 4, 2, 4, 5, 3, 5, 6, 6, 1, 6, 7, 7, 2, 5, 8, 8, 2, 6, 8, 9, 3, 7, 9, 10, 10, 2, 7, 10, 11, 11, 3, 8, 11, 12, 12, 12, 3, 9, 12, 12, 13, 13, 4, 9, 12, 13, 14, 14, 1, 10, 13, 14, 15, 15, 2, 11, 14, 15, 16, 16, 16, 2, 10, 15, 16, 17, 17, 17, 3, 11, 16, 17, 18, 18, 18, 18]

cp's OEIS Frontend

A353068 Irregular triangle read by rows: T(n,k) = n - multiplicity of prime(k) as a divisor of n!.

Table of values

List of values

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

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

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