A348999 - cp's OEIS frontend

A348999 a(n) = A348929(A276086(n)), where A348929(n) = gcd(n, A003959(n)), A003959 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	6
4	1
5	6
6	1
7	2
8	3
9	6
10	3
11	18
12	1
13	2
14	3
15	6
16	9
17	18
18	1
19	2
20	3
21	6
22	9
23	18
24	1
25	2
26	3
27	6
28	9
29	18
30	1
31	2
32	1
33	6
34	1
35	6
36	1
37	2
38	3
39	6
40	3
41	18
42	1
43	2
44	3
45	6
46	9
47	18
48	1
49	2
50	3
51	6
52	9
53	18
54	1
55	2
56	3
57	6
58	9
59	18
60	1
61	2
62	1
63	6
64	1
65	6
66	1
67	2
68	3
69	6
70	3
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	1
93	6
94	1
95	6
96	1
97	2
98	3
99	6
100	3
101	18

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

cp's OEIS Frontend

A348999 a(n) = A348929(A276086(n)), where A348929(n) = gcd(n, A003959(n)), A003959 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	6
4	1
5	6
6	1
7	2
8	3
9	6
10	3
11	18
12	1
13	2
14	3
15	6
16	9
17	18
18	1
19	2
20	3
21	6
22	9
23	18
24	1
25	2
26	3
27	6
28	9
29	18
30	1
31	2
32	1
33	6
34	1
35	6
36	1
37	2
38	3
39	6
40	3
41	18
42	1
43	2
44	3
45	6
46	9
47	18
48	1
49	2
50	3
51	6
52	9
53	18
54	1
55	2
56	3
57	6
58	9
59	18
60	1
61	2
62	1
63	6
64	1
65	6
66	1
67	2
68	3
69	6
70	3
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	1
93	6
94	1
95	6
96	1
97	2
98	3
99	6
100	3
101	18

n	a(n)
0	1
1	1
2	1
3	6
4	1
5	6
6	1
7	2
8	3
9	6
10	3
11	18
12	1
13	2
14	3
15	6
16	9
17	18
18	1
19	2
20	3
21	6
22	9
23	18
24	1
25	2
26	3
27	6
28	9
29	18
30	1
31	2
32	1
33	6
34	1
35	6
36	1
37	2
38	3
39	6
40	3
41	18
42	1
43	2
44	3
45	6
46	9
47	18
48	1
49	2
50	3
51	6
52	9
53	18
54	1
55	2
56	3
57	6
58	9
59	18
60	1
61	2
62	1
63	6
64	1
65	6
66	1
67	2
68	3
69	6
70	3
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	1
93	6
94	1
95	6
96	1
97	2
98	3
99	6
100	3
101	18

n	a(n)
0	1
1	1
2	1
3	6
4	1
5	6
6	1
7	2
8	3
9	6
10	3
11	18
12	1
13	2
14	3
15	6
16	9
17	18
18	1
19	2
20	3
21	6
22	9
23	18
24	1
25	2
26	3
27	6
28	9
29	18
30	1
31	2
32	1
33	6
34	1
35	6
36	1
37	2
38	3
39	6
40	3
41	18
42	1
43	2
44	3
45	6
46	9
47	18
48	1
49	2
50	3
51	6
52	9
53	18
54	1
55	2
56	3
57	6
58	9
59	18
60	1
61	2
62	1
63	6
64	1
65	6
66	1
67	2
68	3
69	6
70	3
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	1
93	6
94	1
95	6
96	1
97	2
98	3
99	6
100	3
101	18