A373147 - cp's OEIS frontend

A373147 a(n) = A003415(n) mod A276085(n), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.

n	a(n)
2	0
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	0
11	1
12	0
13	1
14	9
15	0
16	0
17	1
18	1
19	1
20	0
21	10
22	13
23	1
24	4
25	10
26	15
27	3
28	0
29	1
30	4
31	1
32	0
33	14
34	19
35	12
36	0
37	1
38	21
39	16
40	5
41	1
42	8
43	1
44	48
45	9
46	25
47	1
48	4
49	14
50	6
51	20
52	56
53	1
54	4
55	16
56	26
57	22
58	31
59	1
60	2
61	1
62	33
63	17
64	0
65	18
66	61
67	1
68	72
69	26
70	22
71	1
72	2
73	1
74	39
75	13
76	80
77	18
78	71
79	1
80	6
81	4
82	43
83	1
84	22
85	22
86	45
87	32
88	140
89	1
90	2
91	20
92	96
93	34
94	49

[0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 9, 0, 0, 1, 1, 1, 0, 10, 13, 1, 4, 10, 15, 3, 0, 1, 4, 1, 0, 14, 19, 12, 0, 1, 21, 16, 5, 1, 8, 1, 48, 9, 25, 1, 4, 14, 6, 20, 56, 1, 4, 16, 26, 22, 31, 1, 2, 1, 33, 17, 0, 18, 61, 1, 72, 26, 22, 1, 2, 1, 39, 13, 80, 18, 71, 1, 6, 4, 43, 1, 22, 22, 45, 32, 140, 1, 2, 20, 96, 34, 49]

cp's OEIS Frontend

A373147 a(n) = A003415(n) mod A276085(n), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function.

Table of values

List of values

n	a(n)
2	0
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	0
11	1
12	0
13	1
14	9
15	0
16	0
17	1
18	1
19	1
20	0
21	10
22	13
23	1
24	4
25	10
26	15
27	3
28	0
29	1
30	4
31	1
32	0
33	14
34	19
35	12
36	0
37	1
38	21
39	16
40	5
41	1
42	8
43	1
44	48
45	9
46	25
47	1
48	4
49	14
50	6
51	20
52	56
53	1
54	4
55	16
56	26
57	22
58	31
59	1
60	2
61	1
62	33
63	17
64	0
65	18
66	61
67	1
68	72
69	26
70	22
71	1
72	2
73	1
74	39
75	13
76	80
77	18
78	71
79	1
80	6
81	4
82	43
83	1
84	22
85	22
86	45
87	32
88	140
89	1
90	2
91	20
92	96
93	34
94	49

n	a(n)
2	0
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	0
11	1
12	0
13	1
14	9
15	0
16	0
17	1
18	1
19	1
20	0
21	10
22	13
23	1
24	4
25	10
26	15
27	3
28	0
29	1
30	4
31	1
32	0
33	14
34	19
35	12
36	0
37	1
38	21
39	16
40	5
41	1
42	8
43	1
44	48
45	9
46	25
47	1
48	4
49	14
50	6
51	20
52	56
53	1
54	4
55	16
56	26
57	22
58	31
59	1
60	2
61	1
62	33
63	17
64	0
65	18
66	61
67	1
68	72
69	26
70	22
71	1
72	2
73	1
74	39
75	13
76	80
77	18
78	71
79	1
80	6
81	4
82	43
83	1
84	22
85	22
86	45
87	32
88	140
89	1
90	2
91	20
92	96
93	34
94	49

n	a(n)
2	0
3	1
4	0
5	1
6	2
7	1
8	0
9	2
10	0
11	1
12	0
13	1
14	9
15	0
16	0
17	1
18	1
19	1
20	0
21	10
22	13
23	1
24	4
25	10
26	15
27	3
28	0
29	1
30	4
31	1
32	0
33	14
34	19
35	12
36	0
37	1
38	21
39	16
40	5
41	1
42	8
43	1
44	48
45	9
46	25
47	1
48	4
49	14
50	6
51	20
52	56
53	1
54	4
55	16
56	26
57	22
58	31
59	1
60	2
61	1
62	33
63	17
64	0
65	18
66	61
67	1
68	72
69	26
70	22
71	1
72	2
73	1
74	39
75	13
76	80
77	18
78	71
79	1
80	6
81	4
82	43
83	1
84	22
85	22
86	45
87	32
88	140
89	1
90	2
91	20
92	96
93	34
94	49