A351086 - cp's OEIS frontend

A351086 a(n) = gcd(A003415(n), A328572(n)), where A003415 is the arithmetic derivative and A328572 converts the primorial base expansion of n into its prime product form, but with 1 subtracted from all nonzero digits.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	1
19	1
20	1
21	5
22	1
23	1
24	1
25	5
26	5
27	1
28	1
29	1
30	1
31	1
32	1
33	1
34	1
35	3
36	1
37	1
38	1
39	1
40	1
41	1
42	1
43	1
44	1
45	1
46	5
47	1
48	1
49	1
50	5
51	5
52	1
53	1
54	1
55	1
56	1
57	1
58	1
59	1
60	1
61	1
62	1
63	1
64	3
65	3
66	1
67	1
68	1
69	1
70	1
71	1
72	1
73	1
74	1
75	5
76	5
77	3
78	1
79	1
80	1
81	1
82	1
83	1
84	1
85	1
86	5
87	1
88	35
89	1
90	1
91	1
92	1
93	1
94	49
95	3
96	1
97	1
98	7
99	1
100	7
101	1
102	7

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 35, 1, 1, 1, 1, 1, 49, 3, 1, 1, 7, 1, 7, 1, 7]

cp's OEIS Frontend

A351086 a(n) = gcd(A003415(n), A328572(n)), where A003415 is the arithmetic derivative and A328572 converts the primorial base expansion of n into its prime product form, but with 1 subtracted from all nonzero digits.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	1
19	1
20	1
21	5
22	1
23	1
24	1
25	5
26	5
27	1
28	1
29	1
30	1
31	1
32	1
33	1
34	1
35	3
36	1
37	1
38	1
39	1
40	1
41	1
42	1
43	1
44	1
45	1
46	5
47	1
48	1
49	1
50	5
51	5
52	1
53	1
54	1
55	1
56	1
57	1
58	1
59	1
60	1
61	1
62	1
63	1
64	3
65	3
66	1
67	1
68	1
69	1
70	1
71	1
72	1
73	1
74	1
75	5
76	5
77	3
78	1
79	1
80	1
81	1
82	1
83	1
84	1
85	1
86	5
87	1
88	35
89	1
90	1
91	1
92	1
93	1
94	49
95	3
96	1
97	1
98	7
99	1
100	7
101	1
102	7

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	1
19	1
20	1
21	5
22	1
23	1
24	1
25	5
26	5
27	1
28	1
29	1
30	1
31	1
32	1
33	1
34	1
35	3
36	1
37	1
38	1
39	1
40	1
41	1
42	1
43	1
44	1
45	1
46	5
47	1
48	1
49	1
50	5
51	5
52	1
53	1
54	1
55	1
56	1
57	1
58	1
59	1
60	1
61	1
62	1
63	1
64	3
65	3
66	1
67	1
68	1
69	1
70	1
71	1
72	1
73	1
74	1
75	5
76	5
77	3
78	1
79	1
80	1
81	1
82	1
83	1
84	1
85	1
86	5
87	1
88	35
89	1
90	1
91	1
92	1
93	1
94	49
95	3
96	1
97	1
98	7
99	1
100	7
101	1
102	7

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	1
15	1
16	1
17	1
18	1
19	1
20	1
21	5
22	1
23	1
24	1
25	5
26	5
27	1
28	1
29	1
30	1
31	1
32	1
33	1
34	1
35	3
36	1
37	1
38	1
39	1
40	1
41	1
42	1
43	1
44	1
45	1
46	5
47	1
48	1
49	1
50	5
51	5
52	1
53	1
54	1
55	1
56	1
57	1
58	1
59	1
60	1
61	1
62	1
63	1
64	3
65	3
66	1
67	1
68	1
69	1
70	1
71	1
72	1
73	1
74	1
75	5
76	5
77	3
78	1
79	1
80	1
81	1
82	1
83	1
84	1
85	1
86	5
87	1
88	35
89	1
90	1
91	1
92	1
93	1
94	49
95	3
96	1
97	1
98	7
99	1
100	7
101	1
102	7