A373835 - cp's OEIS frontend

A373835 a(n) = gcd(bigomega(n), A276085(n)), where bigomega (A001222), and A276085 are fully additive with a(p) = 1 and a(p) = p#/p respectively.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	1
13	1
14	1
15	2
16	4
17	1
18	1
19	1
20	1
21	2
22	1
23	1
24	1
25	2
26	1
27	3
28	1
29	1
30	3
31	1
32	5
33	2
34	1
35	2
36	2
37	1
38	1
39	2
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	1
55	2
56	1
57	2
58	1
59	1
60	2
61	1
62	1
63	1
64	6
65	2
66	3
67	1
68	1
69	2
70	1
71	1
72	1
73	1
74	1
75	1
76	1
77	2
78	3
79	1
80	5
81	4
82	1
83	1
84	2
85	2
86	1
87	2
88	1
89	1
90	1
91	2
92	1
93	2
94	1
95	2
96	1
97	1
98	1
99	1
100	2
101	1
102	3
103	1
104	1
105	1

[0, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 3, 1, 5, 2, 1, 2, 2, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 6, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 5, 4, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1]

cp's OEIS Frontend

A373835 a(n) = gcd(bigomega(n), A276085(n)), where bigomega (A001222), and A276085 are fully additive with a(p) = 1 and a(p) = p#/p respectively.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	1
13	1
14	1
15	2
16	4
17	1
18	1
19	1
20	1
21	2
22	1
23	1
24	1
25	2
26	1
27	3
28	1
29	1
30	3
31	1
32	5
33	2
34	1
35	2
36	2
37	1
38	1
39	2
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	1
55	2
56	1
57	2
58	1
59	1
60	2
61	1
62	1
63	1
64	6
65	2
66	3
67	1
68	1
69	2
70	1
71	1
72	1
73	1
74	1
75	1
76	1
77	2
78	3
79	1
80	5
81	4
82	1
83	1
84	2
85	2
86	1
87	2
88	1
89	1
90	1
91	2
92	1
93	2
94	1
95	2
96	1
97	1
98	1
99	1
100	2
101	1
102	3
103	1
104	1
105	1

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	1
13	1
14	1
15	2
16	4
17	1
18	1
19	1
20	1
21	2
22	1
23	1
24	1
25	2
26	1
27	3
28	1
29	1
30	3
31	1
32	5
33	2
34	1
35	2
36	2
37	1
38	1
39	2
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	1
55	2
56	1
57	2
58	1
59	1
60	2
61	1
62	1
63	1
64	6
65	2
66	3
67	1
68	1
69	2
70	1
71	1
72	1
73	1
74	1
75	1
76	1
77	2
78	3
79	1
80	5
81	4
82	1
83	1
84	2
85	2
86	1
87	2
88	1
89	1
90	1
91	2
92	1
93	2
94	1
95	2
96	1
97	1
98	1
99	1
100	2
101	1
102	3
103	1
104	1
105	1

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	1
7	1
8	3
9	2
10	1
11	1
12	1
13	1
14	1
15	2
16	4
17	1
18	1
19	1
20	1
21	2
22	1
23	1
24	1
25	2
26	1
27	3
28	1
29	1
30	3
31	1
32	5
33	2
34	1
35	2
36	2
37	1
38	1
39	2
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	2
50	1
51	2
52	1
53	1
54	1
55	2
56	1
57	2
58	1
59	1
60	2
61	1
62	1
63	1
64	6
65	2
66	3
67	1
68	1
69	2
70	1
71	1
72	1
73	1
74	1
75	1
76	1
77	2
78	3
79	1
80	5
81	4
82	1
83	1
84	2
85	2
86	1
87	2
88	1
89	1
90	1
91	2
92	1
93	2
94	1
95	2
96	1
97	1
98	1
99	1
100	2
101	1
102	3
103	1
104	1
105	1