A374131 - cp's OEIS frontend

A374131 Lexicographically earliest infinite sequence such that for all i, j >= 1, a(i) = a(j) => f(i) = f(j), where f(1) = 1, and for n > 1, f(n) = [A083345(n), A374132(n), A374133(n)], where A083345 is the numerator of the fully additive function with a(p) = 1/p, and A374132 and A374133 are the 2- and 3-adic valuations of A276085, which is fully additive with a(p) = p#/p.

n	a(n)
1	1
2	2
3	3
4	3
5	4
6	5
7	4
8	6
9	7
10	8
11	4
12	9
13	4
14	10
15	11
16	7
17	4
18	8
19	4
20	12
21	13
22	14
23	4
24	15
25	16
26	17
27	4
28	18
29	4
30	19
31	4
32	20
33	21
34	22
35	23
36	24
37	4
38	25
39	26
40	27
41	4
42	28
43	4
44	29
45	30
46	31
47	4
48	32
49	16
50	10
51	33
52	34
53	4
54	35
55	36
56	37
57	38
58	39
59	4
60	40
61	4
62	41
63	42
64	43
65	44
66	45
67	4
68	46
69	47
70	48
71	4
72	14
73	4
74	49
75	50
76	33
77	51
78	52
79	4
80	50
81	53
82	54
83	4
84	55
85	56
86	57
87	58
88	59
89	4
90	60
91	61
92	62
93	63
94	64
95	65
96	66
97	4
98	15
99	67
100	68

[1, 2, 3, 3, 4, 5, 4, 6, 7, 8, 4, 9, 4, 10, 11, 7, 4, 8, 4, 12, 13, 14, 4, 15, 16, 17, 4, 18, 4, 19, 4, 20, 21, 22, 23, 24, 4, 25, 26, 27, 4, 28, 4, 29, 30, 31, 4, 32, 16, 10, 33, 34, 4, 35, 36, 37, 38, 39, 4, 40, 4, 41, 42, 43, 44, 45, 4, 46, 47, 48, 4, 14, 4, 49, 50, 33, 51, 52, 4, 50, 53, 54, 4, 55, 56, 57, 58, 59, 4, 60, 61, 62, 63, 64, 65, 66, 4, 15, 67, 68]

cp's OEIS Frontend

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	3
5	4
6	5
7	4
8	6
9	7
10	8
11	4
12	9
13	4
14	10
15	11
16	7
17	4
18	8
19	4
20	12
21	13
22	14
23	4
24	15
25	16
26	17
27	4
28	18
29	4
30	19
31	4
32	20
33	21
34	22
35	23
36	24
37	4
38	25
39	26
40	27
41	4
42	28
43	4
44	29
45	30
46	31
47	4
48	32
49	16
50	10
51	33
52	34
53	4
54	35
55	36
56	37
57	38
58	39
59	4
60	40
61	4
62	41
63	42
64	43
65	44
66	45
67	4
68	46
69	47
70	48
71	4
72	14
73	4
74	49
75	50
76	33
77	51
78	52
79	4
80	50
81	53
82	54
83	4
84	55
85	56
86	57
87	58
88	59
89	4
90	60
91	61
92	62
93	63
94	64
95	65
96	66
97	4
98	15
99	67
100	68

n	a(n)
1	1
2	2
3	3
4	3
5	4
6	5
7	4
8	6
9	7
10	8
11	4
12	9
13	4
14	10
15	11
16	7
17	4
18	8
19	4
20	12
21	13
22	14
23	4
24	15
25	16
26	17
27	4
28	18
29	4
30	19
31	4
32	20
33	21
34	22
35	23
36	24
37	4
38	25
39	26
40	27
41	4
42	28
43	4
44	29
45	30
46	31
47	4
48	32
49	16
50	10
51	33
52	34
53	4
54	35
55	36
56	37
57	38
58	39
59	4
60	40
61	4
62	41
63	42
64	43
65	44
66	45
67	4
68	46
69	47
70	48
71	4
72	14
73	4
74	49
75	50
76	33
77	51
78	52
79	4
80	50
81	53
82	54
83	4
84	55
85	56
86	57
87	58
88	59
89	4
90	60
91	61
92	62
93	63
94	64
95	65
96	66
97	4
98	15
99	67
100	68

n	a(n)
1	1
2	2
3	3
4	3
5	4
6	5
7	4
8	6
9	7
10	8
11	4
12	9
13	4
14	10
15	11
16	7
17	4
18	8
19	4
20	12
21	13
22	14
23	4
24	15
25	16
26	17
27	4
28	18
29	4
30	19
31	4
32	20
33	21
34	22
35	23
36	24
37	4
38	25
39	26
40	27
41	4
42	28
43	4
44	29
45	30
46	31
47	4
48	32
49	16
50	10
51	33
52	34
53	4
54	35
55	36
56	37
57	38
58	39
59	4
60	40
61	4
62	41
63	42
64	43
65	44
66	45
67	4
68	46
69	47
70	48
71	4
72	14
73	4
74	49
75	50
76	33
77	51
78	52
79	4
80	50
81	53
82	54
83	4
84	55
85	56
86	57
87	58
88	59
89	4
90	60
91	61
92	62
93	63
94	64
95	65
96	66
97	4
98	15
99	67
100	68