A373248 - cp's OEIS frontend

A373248 Lexicographically earliest infinite sequence such that a(i) = a(j) => gcd(i,A181819(i)) = gcd(j,A181819(j)) and gcd(i,A276086(i)) = gcd(j,A276086(j)), for all i, j >= 1, where A181819 is the prime shadow of n, and A276086 is the primorial base exp-function.

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

[1, 2, 3, 1, 1, 2, 1, 1, 4, 5, 1, 6, 1, 2, 7, 1, 1, 6, 1, 5, 3, 2, 1, 2, 8, 2, 3, 2, 1, 2, 1, 1, 3, 2, 9, 10, 1, 2, 3, 11, 1, 12, 1, 2, 13, 2, 1, 2, 9, 14, 3, 2, 1, 2, 15, 12, 3, 2, 1, 16, 1, 2, 17, 1, 1, 2, 1, 2, 3, 18, 1, 19, 1, 2, 20, 2, 9, 2, 1, 5, 3, 2, 1, 21, 15, 2, 3, 2, 1, 6, 9, 2, 3, 2, 1, 2, 1, 22, 4, 15]

cp's OEIS Frontend

A373248 Lexicographically earliest infinite sequence such that a(i) = a(j) => gcd(i,A181819(i)) = gcd(j,A181819(j)) and gcd(i,A276086(i)) = gcd(j,A276086(j)), for all i, j >= 1, where A181819 is the prime shadow of n, and A276086 is the primorial base exp-function.

Table of values

List of values

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

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

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