A373363 - cp's OEIS frontend

A373363 a(n) = gcd(A001414(n), A083345(n)), where A001414 is the sum of prime factors with repetition, and A083345 is the numerator of the sum of the inverses of prime factors with repetition.

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

[0, 1, 1, 1, 1, 5, 1, 3, 2, 7, 1, 1, 1, 9, 8, 2, 1, 1, 1, 3, 10, 13, 1, 1, 2, 15, 1, 1, 1, 1, 1, 5, 14, 19, 12, 5, 1, 21, 16, 1, 1, 1, 1, 3, 1, 25, 1, 1, 2, 3, 20, 1, 1, 1, 16, 1, 22, 31, 1, 1, 1, 33, 1, 3, 18, 1, 1, 3, 26, 1, 1, 1, 1, 39, 1, 1, 18, 1, 1, 1, 4, 43, 1, 1, 22, 45, 32, 1, 1, 1, 20, 3, 34, 49, 24, 1, 1, 1, 1, 7]

cp's OEIS Frontend

A373363 a(n) = gcd(A001414(n), A083345(n)), where A001414 is the sum of prime factors with repetition, and A083345 is the numerator of the sum of the inverses of prime factors with repetition.

Table of values

List of values

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

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

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