A374211 - cp's OEIS frontend

A374211 Lexicographically earliest infinite sequence such that for all i, j >= 1, a(i) = a(j) => f(i) = f(j), with f(1) = 1, and for n > 1, f(n) = [A278226(A328768(n)), A374212(n), A374213(n)], where A328768 is the first primorial based variant of the arithmetic derivative, and A374212 and A374213 are its 2- and 3-adic valuations.

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

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

cp's OEIS Frontend

Table of values

List of values

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

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

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