A332827 - cp's OEIS frontend

A332827 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(n) = A003557(A332824(n)) for all other numbers, except f(1) = 0.

n	a(n)
1	1
2	2
3	3
4	2
5	3
6	4
7	3
8	2
9	5
10	6
11	3
12	7
13	3
14	8
15	3
16	2
17	3
18	9
19	3
20	6
21	10
22	11
23	3
24	12
25	13
26	14
27	15
28	16
29	3
30	17
31	3
32	2
33	5
34	18
35	13
36	19
37	3
38	20
39	21
40	22
41	3
42	23
43	3
44	24
45	25
46	26
47	3
48	27
49	5
50	28
51	3
52	29
53	3
54	30
55	21
56	31
57	5
58	32
59	3
60	33
61	3
62	34
63	35
64	2
65	13
66	36
67	3
68	18
69	10
70	37
71	3
72	38
73	3
74	39
75	40
76	41
77	25
78	42
79	3
80	43
81	44
82	45
83	3
84	46
85	3
86	47
87	48
88	49
89	3
90	50
91	40
92	51
93	52
94	53
95	3
96	54
97	3
98	55
99	56
100	57
101	3
102	58
103	3
104	59
105	60

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

cp's OEIS Frontend

A332827 Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(n) = A003557(A332824(n)) for all other numbers, except f(1) = 0.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	2
5	3
6	4
7	3
8	2
9	5
10	6
11	3
12	7
13	3
14	8
15	3
16	2
17	3
18	9
19	3
20	6
21	10
22	11
23	3
24	12
25	13
26	14
27	15
28	16
29	3
30	17
31	3
32	2
33	5
34	18
35	13
36	19
37	3
38	20
39	21
40	22
41	3
42	23
43	3
44	24
45	25
46	26
47	3
48	27
49	5
50	28
51	3
52	29
53	3
54	30
55	21
56	31
57	5
58	32
59	3
60	33
61	3
62	34
63	35
64	2
65	13
66	36
67	3
68	18
69	10
70	37
71	3
72	38
73	3
74	39
75	40
76	41
77	25
78	42
79	3
80	43
81	44
82	45
83	3
84	46
85	3
86	47
87	48
88	49
89	3
90	50
91	40
92	51
93	52
94	53
95	3
96	54
97	3
98	55
99	56
100	57
101	3
102	58
103	3
104	59
105	60

n	a(n)
1	1
2	2
3	3
4	2
5	3
6	4
7	3
8	2
9	5
10	6
11	3
12	7
13	3
14	8
15	3
16	2
17	3
18	9
19	3
20	6
21	10
22	11
23	3
24	12
25	13
26	14
27	15
28	16
29	3
30	17
31	3
32	2
33	5
34	18
35	13
36	19
37	3
38	20
39	21
40	22
41	3
42	23
43	3
44	24
45	25
46	26
47	3
48	27
49	5
50	28
51	3
52	29
53	3
54	30
55	21
56	31
57	5
58	32
59	3
60	33
61	3
62	34
63	35
64	2
65	13
66	36
67	3
68	18
69	10
70	37
71	3
72	38
73	3
74	39
75	40
76	41
77	25
78	42
79	3
80	43
81	44
82	45
83	3
84	46
85	3
86	47
87	48
88	49
89	3
90	50
91	40
92	51
93	52
94	53
95	3
96	54
97	3
98	55
99	56
100	57
101	3
102	58
103	3
104	59
105	60

n	a(n)
1	1
2	2
3	3
4	2
5	3
6	4
7	3
8	2
9	5
10	6
11	3
12	7
13	3
14	8
15	3
16	2
17	3
18	9
19	3
20	6
21	10
22	11
23	3
24	12
25	13
26	14
27	15
28	16
29	3
30	17
31	3
32	2
33	5
34	18
35	13
36	19
37	3
38	20
39	21
40	22
41	3
42	23
43	3
44	24
45	25
46	26
47	3
48	27
49	5
50	28
51	3
52	29
53	3
54	30
55	21
56	31
57	5
58	32
59	3
60	33
61	3
62	34
63	35
64	2
65	13
66	36
67	3
68	18
69	10
70	37
71	3
72	38
73	3
74	39
75	40
76	41
77	25
78	42
79	3
80	43
81	44
82	45
83	3
84	46
85	3
86	47
87	48
88	49
89	3
90	50
91	40
92	51
93	52
94	53
95	3
96	54
97	3
98	55
99	56
100	57
101	3
102	58
103	3
104	59
105	60