A348998 - cp's OEIS frontend

A348998 a(n) = A348928(A276086(n)), where A348928(n) = gcd(n, A003958(n)), and A003958 is multiplicative with a(p^e) = (p-1)^e, and A276086 gives the prime product form of primorial base expansion of n.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	1
13	2
14	1
15	2
16	1
17	2
18	1
19	2
20	1
21	2
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	2
32	3
33	6
34	3
35	6
36	1
37	2
38	3
39	6
40	3
41	6
42	1
43	2
44	3
45	6
46	3
47	6
48	1
49	2
50	3
51	6
52	3
53	6
54	1
55	2
56	3
57	6
58	3
59	6
60	1
61	2
62	3
63	6
64	9
65	18
66	1
67	2
68	3
69	6
70	9
71	18
72	1
73	2
74	3
75	6
76	9
77	18
78	1
79	2
80	3
81	6
82	9
83	18
84	1
85	2
86	3
87	6
88	9
89	18
90	1
91	2
92	3
93	6
94	9
95	18
96	1
97	2
98	3
99	6
100	9
101	18

[1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 3, 6, 3, 6, 1, 2, 3, 6, 3, 6, 1, 2, 3, 6, 3, 6, 1, 2, 3, 6, 3, 6, 1, 2, 3, 6, 3, 6, 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9, 18, 1, 2, 3, 6, 9, 18]

cp's OEIS Frontend

A348998 a(n) = A348928(A276086(n)), where A348928(n) = gcd(n, A003958(n)), and A003958 is multiplicative with a(p^e) = (p-1)^e, and A276086 gives the prime product form of primorial base expansion of n.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	1
13	2
14	1
15	2
16	1
17	2
18	1
19	2
20	1
21	2
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	2
32	3
33	6
34	3
35	6
36	1
37	2
38	3
39	6
40	3
41	6
42	1
43	2
44	3
45	6
46	3
47	6
48	1
49	2
50	3
51	6
52	3
53	6
54	1
55	2
56	3
57	6
58	3
59	6
60	1
61	2
62	3
63	6
64	9
65	18
66	1
67	2
68	3
69	6
70	9
71	18
72	1
73	2
74	3
75	6
76	9
77	18
78	1
79	2
80	3
81	6
82	9
83	18
84	1
85	2
86	3
87	6
88	9
89	18
90	1
91	2
92	3
93	6
94	9
95	18
96	1
97	2
98	3
99	6
100	9
101	18

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	1
13	2
14	1
15	2
16	1
17	2
18	1
19	2
20	1
21	2
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	2
32	3
33	6
34	3
35	6
36	1
37	2
38	3
39	6
40	3
41	6
42	1
43	2
44	3
45	6
46	3
47	6
48	1
49	2
50	3
51	6
52	3
53	6
54	1
55	2
56	3
57	6
58	3
59	6
60	1
61	2
62	3
63	6
64	9
65	18
66	1
67	2
68	3
69	6
70	9
71	18
72	1
73	2
74	3
75	6
76	9
77	18
78	1
79	2
80	3
81	6
82	9
83	18
84	1
85	2
86	3
87	6
88	9
89	18
90	1
91	2
92	3
93	6
94	9
95	18
96	1
97	2
98	3
99	6
100	9
101	18

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	1
7	2
8	1
9	2
10	1
11	2
12	1
13	2
14	1
15	2
16	1
17	2
18	1
19	2
20	1
21	2
22	1
23	2
24	1
25	2
26	1
27	2
28	1
29	2
30	1
31	2
32	3
33	6
34	3
35	6
36	1
37	2
38	3
39	6
40	3
41	6
42	1
43	2
44	3
45	6
46	3
47	6
48	1
49	2
50	3
51	6
52	3
53	6
54	1
55	2
56	3
57	6
58	3
59	6
60	1
61	2
62	3
63	6
64	9
65	18
66	1
67	2
68	3
69	6
70	9
71	18
72	1
73	2
74	3
75	6
76	9
77	18
78	1
79	2
80	3
81	6
82	9
83	18
84	1
85	2
86	3
87	6
88	9
89	18
90	1
91	2
92	3
93	6
94	9
95	18
96	1
97	2
98	3
99	6
100	9
101	18