A350071 - cp's OEIS frontend

A350071 a(n) = gcd(sigma(n^2), A003961(n^2)), where A003961 shifts the prime factorization of n one step towards larger primes, and sigma is the sum of divisors function.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	7
11	1
12	1
13	1
14	3
15	1
16	1
17	1
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	1
26	3
27	1
28	3
29	1
30	7
31	1
32	1
33	13
34	1
35	1
36	1
37	1
38	3
39	1
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	7
51	1
52	3
53	1
54	1
55	7
56	3
57	1
58	1
59	1
60	1
61	1
62	3
63	121
64	1
65	1
66	13
67	1
68	1
69	1
70	21
71	1
72	1
73	1
74	3
75	1
76	3
77	1
78	3
79	1
80	7
81	1
82	1
83	1
84	3
85	1
86	3
87	1
88	1
89	1
90	7
91	1
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	1
103	1
104	3
105	1

[1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 7, 1, 1, 13, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 7, 1, 3, 1, 1, 7, 3, 1, 1, 1, 1, 1, 3, 121, 1, 1, 13, 1, 1, 1, 21, 1, 1, 1, 3, 1, 3, 1, 3, 1, 7, 1, 1, 1, 3, 1, 3, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1]

cp's OEIS Frontend

A350071 a(n) = gcd(sigma(n^2), A003961(n^2)), where A003961 shifts the prime factorization of n one step towards larger primes, and sigma is the sum of divisors function.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	7
11	1
12	1
13	1
14	3
15	1
16	1
17	1
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	1
26	3
27	1
28	3
29	1
30	7
31	1
32	1
33	13
34	1
35	1
36	1
37	1
38	3
39	1
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	7
51	1
52	3
53	1
54	1
55	7
56	3
57	1
58	1
59	1
60	1
61	1
62	3
63	121
64	1
65	1
66	13
67	1
68	1
69	1
70	21
71	1
72	1
73	1
74	3
75	1
76	3
77	1
78	3
79	1
80	7
81	1
82	1
83	1
84	3
85	1
86	3
87	1
88	1
89	1
90	7
91	1
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	1
103	1
104	3
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	7
11	1
12	1
13	1
14	3
15	1
16	1
17	1
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	1
26	3
27	1
28	3
29	1
30	7
31	1
32	1
33	13
34	1
35	1
36	1
37	1
38	3
39	1
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	7
51	1
52	3
53	1
54	1
55	7
56	3
57	1
58	1
59	1
60	1
61	1
62	3
63	121
64	1
65	1
66	13
67	1
68	1
69	1
70	21
71	1
72	1
73	1
74	3
75	1
76	3
77	1
78	3
79	1
80	7
81	1
82	1
83	1
84	3
85	1
86	3
87	1
88	1
89	1
90	7
91	1
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	1
103	1
104	3
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	7
11	1
12	1
13	1
14	3
15	1
16	1
17	1
18	1
19	1
20	1
21	1
22	1
23	1
24	1
25	1
26	3
27	1
28	3
29	1
30	7
31	1
32	1
33	13
34	1
35	1
36	1
37	1
38	3
39	1
40	1
41	1
42	3
43	1
44	1
45	1
46	1
47	1
48	1
49	1
50	7
51	1
52	3
53	1
54	1
55	7
56	3
57	1
58	1
59	1
60	1
61	1
62	3
63	121
64	1
65	1
66	13
67	1
68	1
69	1
70	21
71	1
72	1
73	1
74	3
75	1
76	3
77	1
78	3
79	1
80	7
81	1
82	1
83	1
84	3
85	1
86	3
87	1
88	1
89	1
90	7
91	1
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1
101	1
102	1
103	1
104	3
105	1