A351544 - cp's OEIS frontend

A351544 a(n) is the largest unitary divisor of sigma(n) such that its every prime factor also divides A003961(n), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

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

[1, 3, 1, 1, 1, 3, 1, 3, 1, 9, 1, 1, 1, 3, 1, 1, 1, 3, 1, 21, 1, 9, 1, 15, 1, 3, 5, 1, 1, 9, 1, 9, 1, 27, 1, 1, 1, 3, 1, 9, 1, 3, 1, 3, 1, 9, 1, 1, 1, 3, 1, 1, 1, 15, 1, 3, 5, 9, 1, 21, 1, 3, 1, 1, 7, 9, 1, 9, 1, 9, 1, 15, 1, 3, 1, 1, 1, 3, 1, 3, 1, 9, 1, 1, 1, 3, 5, 9, 1, 9, 1, 3, 1, 9, 1, 9, 1, 9, 13, 7, 1, 27]

cp's OEIS Frontend

A351544 a(n) is the largest unitary divisor of sigma(n) such that its every prime factor also divides A003961(n), where A003961 is fully multiplicative with a(p) = nextprime(p), and sigma is the sum of divisors function.

Table of values

List of values

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

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

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