A326056 - cp's OEIS frontend

A326056 a(n) = gcd(sigma(n)-A008833(n)-n, n-A008833(n)), where sigma is the sum of divisors of n, and A008833 is the largest square dividing n.

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

[1, 1, 2, 1, 4, 5, 6, 1, 5, 1, 10, 4, 12, 1, 2, 1, 16, 3, 18, 2, 10, 1, 22, 4, 19, 5, 2, 24, 28, 1, 30, 1, 2, 1, 2, 19, 36, 1, 2, 2, 40, 1, 42, 4, 12, 5, 46, 4, 41, 1, 10, 6, 52, 3, 2, 4, 2, 1, 58, 8, 60, 1, 2, 1, 2, 1, 66, 2, 2, 1, 70, 3, 72, 1, 2, 12, 2, 1, 78, 2, 41, 1, 82, 8, 2, 5, 2, 4, 88, 27, 10, 8, 2, 1, 2, 20, 96, 1, 6]

cp's OEIS Frontend

A326056 a(n) = gcd(sigma(n)-A008833(n)-n, n-A008833(n)), where sigma is the sum of divisors of n, and A008833 is the largest square dividing n.

Table of values

List of values

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

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

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