A379240 - cp's OEIS frontend

A379240 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), for all i, j, where f(n) = [A003415(n), A085731(n)] if A359550(n) = 1, otherwise f(n) = n.

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

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

cp's OEIS Frontend

A379240 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), for all i, j, where f(n) = [A003415(n), A085731(n)] if A359550(n) = 1, otherwise f(n) = n.

Table of values

List of values

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

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

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