A373989 - cp's OEIS frontend

A373989 a(n) = A276150(gcd(A108951(n), A373158(n))), where A276150 is the digit sum in primorial base, A108951 is fully multiplicative and A373158 is fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x).

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	1
13	1
14	2
15	2
16	2
17	1
18	1
19	1
20	1
21	2
22	2
23	1
24	2
25	2
26	2
27	3
28	1
29	1
30	1
31	1
32	1
33	2
34	2
35	2
36	4
37	1
38	2
39	2
40	2
41	1
42	1
43	1
44	1
45	1
46	2
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	2
55	6
56	4
57	2
58	2
59	1
60	4
61	1
62	2
63	1
64	2
65	6
66	1
67	1
68	1
69	2
70	1
71	1
72	3
73	1
74	2
75	1
76	1
77	6
78	1
79	1
80	1
81	4
82	2
83	1
84	4
85	2
86	2
87	2
88	2
89	1
90	2
91	6
92	1
93	2
94	2
95	2
96	4
97	1
98	1
99	5
100	4
101	1
102	1
103	1
104	2
105	1

[1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 2, 2, 4, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 6, 4, 2, 2, 1, 4, 1, 2, 1, 2, 6, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 6, 1, 1, 1, 4, 2, 1, 4, 2, 2, 2, 2, 1, 2, 6, 1, 2, 2, 2, 4, 1, 1, 5, 4, 1, 1, 1, 2, 1]

cp's OEIS Frontend

A373989 a(n) = A276150(gcd(A108951(n), A373158(n))), where A276150 is the digit sum in primorial base, A108951 is fully multiplicative and A373158 is fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	1
13	1
14	2
15	2
16	2
17	1
18	1
19	1
20	1
21	2
22	2
23	1
24	2
25	2
26	2
27	3
28	1
29	1
30	1
31	1
32	1
33	2
34	2
35	2
36	4
37	1
38	2
39	2
40	2
41	1
42	1
43	1
44	1
45	1
46	2
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	2
55	6
56	4
57	2
58	2
59	1
60	4
61	1
62	2
63	1
64	2
65	6
66	1
67	1
68	1
69	2
70	1
71	1
72	3
73	1
74	2
75	1
76	1
77	6
78	1
79	1
80	1
81	4
82	2
83	1
84	4
85	2
86	2
87	2
88	2
89	1
90	2
91	6
92	1
93	2
94	2
95	2
96	4
97	1
98	1
99	5
100	4
101	1
102	1
103	1
104	2
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	1
13	1
14	2
15	2
16	2
17	1
18	1
19	1
20	1
21	2
22	2
23	1
24	2
25	2
26	2
27	3
28	1
29	1
30	1
31	1
32	1
33	2
34	2
35	2
36	4
37	1
38	2
39	2
40	2
41	1
42	1
43	1
44	1
45	1
46	2
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	2
55	6
56	4
57	2
58	2
59	1
60	4
61	1
62	2
63	1
64	2
65	6
66	1
67	1
68	1
69	2
70	1
71	1
72	3
73	1
74	2
75	1
76	1
77	6
78	1
79	1
80	1
81	4
82	2
83	1
84	4
85	2
86	2
87	2
88	2
89	1
90	2
91	6
92	1
93	2
94	2
95	2
96	4
97	1
98	1
99	5
100	4
101	1
102	1
103	1
104	2
105	1

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	2
10	2
11	1
12	1
13	1
14	2
15	2
16	2
17	1
18	1
19	1
20	1
21	2
22	2
23	1
24	2
25	2
26	2
27	3
28	1
29	1
30	1
31	1
32	1
33	2
34	2
35	2
36	4
37	1
38	2
39	2
40	2
41	1
42	1
43	1
44	1
45	1
46	2
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	2
55	6
56	4
57	2
58	2
59	1
60	4
61	1
62	2
63	1
64	2
65	6
66	1
67	1
68	1
69	2
70	1
71	1
72	3
73	1
74	2
75	1
76	1
77	6
78	1
79	1
80	1
81	4
82	2
83	1
84	4
85	2
86	2
87	2
88	2
89	1
90	2
91	6
92	1
93	2
94	2
95	2
96	4
97	1
98	1
99	5
100	4
101	1
102	1
103	1
104	2
105	1