A340073 - cp's OEIS frontend

A340073 a(n) = (x-1) / gcd(x-1, phi(x)), where x = A003961(n), i.e., n with its prime factorization shifted one step towards larger primes.

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	13
9	6
10	5
11	1
12	11
13	1
14	8
15	17
16	40
17	1
18	37
19	1
20	31
21	27
22	19
23	1
24	67
25	8
26	25
27	31
28	49
29	1
30	13
31	1
32	121
33	4
34	14
35	19
36	28
37	1
38	17
39	21
40	47
41	1
42	41
43	1
44	29
45	29
46	43
47	1
48	101
49	12
50	73
51	47
52	19
53	1
54	187
55	5
56	74
57	57
58	23
59	1
60	157
61	1
62	55
63	137
64	364
65	59
66	97
67	1
68	85
69	9
70	23
71	1
72	337
73	1
74	61
75	61
76	103
77	71
78	127
79	1
80	283
81	156
82	32
83	1
84	247
85	11

[0, 1, 1, 4, 1, 7, 1, 13, 6, 5, 1, 11, 1, 8, 17, 40, 1, 37, 1, 31, 27, 19, 1, 67, 8, 25, 31, 49, 1, 13, 1, 121, 4, 14, 19, 28, 1, 17, 21, 47, 1, 41, 1, 29, 29, 43, 1, 101, 12, 73, 47, 19, 1, 187, 5, 74, 57, 23, 1, 157, 1, 55, 137, 364, 59, 97, 1, 85, 9, 23, 1, 337, 1, 61, 61, 103, 71, 127, 1, 283, 156, 32, 1, 247, 11]

cp's OEIS Frontend

A340073 a(n) = (x-1) / gcd(x-1, phi(x)), where x = A003961(n), i.e., n with its prime factorization shifted one step towards larger primes.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	13
9	6
10	5
11	1
12	11
13	1
14	8
15	17
16	40
17	1
18	37
19	1
20	31
21	27
22	19
23	1
24	67
25	8
26	25
27	31
28	49
29	1
30	13
31	1
32	121
33	4
34	14
35	19
36	28
37	1
38	17
39	21
40	47
41	1
42	41
43	1
44	29
45	29
46	43
47	1
48	101
49	12
50	73
51	47
52	19
53	1
54	187
55	5
56	74
57	57
58	23
59	1
60	157
61	1
62	55
63	137
64	364
65	59
66	97
67	1
68	85
69	9
70	23
71	1
72	337
73	1
74	61
75	61
76	103
77	71
78	127
79	1
80	283
81	156
82	32
83	1
84	247
85	11

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	13
9	6
10	5
11	1
12	11
13	1
14	8
15	17
16	40
17	1
18	37
19	1
20	31
21	27
22	19
23	1
24	67
25	8
26	25
27	31
28	49
29	1
30	13
31	1
32	121
33	4
34	14
35	19
36	28
37	1
38	17
39	21
40	47
41	1
42	41
43	1
44	29
45	29
46	43
47	1
48	101
49	12
50	73
51	47
52	19
53	1
54	187
55	5
56	74
57	57
58	23
59	1
60	157
61	1
62	55
63	137
64	364
65	59
66	97
67	1
68	85
69	9
70	23
71	1
72	337
73	1
74	61
75	61
76	103
77	71
78	127
79	1
80	283
81	156
82	32
83	1
84	247
85	11

n	a(n)
1	0
2	1
3	1
4	4
5	1
6	7
7	1
8	13
9	6
10	5
11	1
12	11
13	1
14	8
15	17
16	40
17	1
18	37
19	1
20	31
21	27
22	19
23	1
24	67
25	8
26	25
27	31
28	49
29	1
30	13
31	1
32	121
33	4
34	14
35	19
36	28
37	1
38	17
39	21
40	47
41	1
42	41
43	1
44	29
45	29
46	43
47	1
48	101
49	12
50	73
51	47
52	19
53	1
54	187
55	5
56	74
57	57
58	23
59	1
60	157
61	1
62	55
63	137
64	364
65	59
66	97
67	1
68	85
69	9
70	23
71	1
72	337
73	1
74	61
75	61
76	103
77	71
78	127
79	1
80	283
81	156
82	32
83	1
84	247
85	11