A286872 - cp's OEIS frontend

A286872 a(n) is the number of terms m such that d((m!)^n) (mod d(m!)) == 0, where d is A000005.

n	a(n)
2	1
3	5
4	1
5	8
6	1
7	15
8	1
9	6
10	1
11	29
12	1
13	27
14	1
15	5
16	1
17	54
18	1
19	60
20	1
21	6
22	1
23	63
24	1
25	7
26	1
27	6
28	1
29	54
30	1
31	75
32	1
33	6
34	1
35	12
36	1
37	52
38	1
39	7
40	1
41	76
42	1
43	69
44	1
45	5
46	1
47	74
48	1
49	27
50	1
51	6
52	1
53	78
54	1
55	12
56	1
57	6
58	1
59	97
60	1
61	33
62	1
63	6
64	1
65	15
66	1
67	85
68	1
69	5
70	1
71	99
72	1
73	46
74	1
75	5
76	1
77	15
78	1
79	95
80	1
81	6
82	1
83	56
84	1
85	13
86	1
87	6
88	1
89	82
90	1
91	20
92	1
93	5

[1, 5, 1, 8, 1, 15, 1, 6, 1, 29, 1, 27, 1, 5, 1, 54, 1, 60, 1, 6, 1, 63, 1, 7, 1, 6, 1, 54, 1, 75, 1, 6, 1, 12, 1, 52, 1, 7, 1, 76, 1, 69, 1, 5, 1, 74, 1, 27, 1, 6, 1, 78, 1, 12, 1, 6, 1, 97, 1, 33, 1, 6, 1, 15, 1, 85, 1, 5, 1, 99, 1, 46, 1, 5, 1, 15, 1, 95, 1, 6, 1, 56, 1, 13, 1, 6, 1, 82, 1, 20, 1, 5]

cp's OEIS Frontend

A286872 a(n) is the number of terms m such that d((m!)^n) (mod d(m!)) == 0, where d is A000005.

Table of values

List of values

n	a(n)
2	1
3	5
4	1
5	8
6	1
7	15
8	1
9	6
10	1
11	29
12	1
13	27
14	1
15	5
16	1
17	54
18	1
19	60
20	1
21	6
22	1
23	63
24	1
25	7
26	1
27	6
28	1
29	54
30	1
31	75
32	1
33	6
34	1
35	12
36	1
37	52
38	1
39	7
40	1
41	76
42	1
43	69
44	1
45	5
46	1
47	74
48	1
49	27
50	1
51	6
52	1
53	78
54	1
55	12
56	1
57	6
58	1
59	97
60	1
61	33
62	1
63	6
64	1
65	15
66	1
67	85
68	1
69	5
70	1
71	99
72	1
73	46
74	1
75	5
76	1
77	15
78	1
79	95
80	1
81	6
82	1
83	56
84	1
85	13
86	1
87	6
88	1
89	82
90	1
91	20
92	1
93	5

n	a(n)
2	1
3	5
4	1
5	8
6	1
7	15
8	1
9	6
10	1
11	29
12	1
13	27
14	1
15	5
16	1
17	54
18	1
19	60
20	1
21	6
22	1
23	63
24	1
25	7
26	1
27	6
28	1
29	54
30	1
31	75
32	1
33	6
34	1
35	12
36	1
37	52
38	1
39	7
40	1
41	76
42	1
43	69
44	1
45	5
46	1
47	74
48	1
49	27
50	1
51	6
52	1
53	78
54	1
55	12
56	1
57	6
58	1
59	97
60	1
61	33
62	1
63	6
64	1
65	15
66	1
67	85
68	1
69	5
70	1
71	99
72	1
73	46
74	1
75	5
76	1
77	15
78	1
79	95
80	1
81	6
82	1
83	56
84	1
85	13
86	1
87	6
88	1
89	82
90	1
91	20
92	1
93	5

n	a(n)
2	1
3	5
4	1
5	8
6	1
7	15
8	1
9	6
10	1
11	29
12	1
13	27
14	1
15	5
16	1
17	54
18	1
19	60
20	1
21	6
22	1
23	63
24	1
25	7
26	1
27	6
28	1
29	54
30	1
31	75
32	1
33	6
34	1
35	12
36	1
37	52
38	1
39	7
40	1
41	76
42	1
43	69
44	1
45	5
46	1
47	74
48	1
49	27
50	1
51	6
52	1
53	78
54	1
55	12
56	1
57	6
58	1
59	97
60	1
61	33
62	1
63	6
64	1
65	15
66	1
67	85
68	1
69	5
70	1
71	99
72	1
73	46
74	1
75	5
76	1
77	15
78	1
79	95
80	1
81	6
82	1
83	56
84	1
85	13
86	1
87	6
88	1
89	82
90	1
91	20
92	1
93	5