A379113 - cp's OEIS frontend

A379113 a(1) = 1; for n > 1, a(n) is the greatest proper unitary divisor d of n such that A048720(A065621(sigma(d)),sigma(n/d)) is equal to sigma(n).

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

[1, 1, 1, 1, 1, 3, 1, 1, 1, 5, 1, 3, 1, 7, 3, 1, 1, 1, 1, 5, 7, 11, 1, 3, 1, 2, 1, 7, 1, 15, 1, 1, 3, 1, 7, 1, 1, 1, 3, 5, 1, 21, 1, 11, 1, 23, 1, 3, 1, 2, 3, 13, 1, 1, 11, 7, 3, 2, 1, 15, 1, 31, 7, 1, 5, 33, 1, 1, 3, 35, 1, 9, 1, 1, 3, 19, 7, 6, 1, 5, 1, 1, 1, 21, 1, 43, 3, 11, 1, 1, 7, 23, 31, 47, 1, 3, 1, 1, 1, 4, 1]

cp's OEIS Frontend

A379113 a(1) = 1; for n > 1, a(n) is the greatest proper unitary divisor d of n such that A048720(A065621(sigma(d)),sigma(n/d)) is equal to sigma(n).

Table of values

List of values

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

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

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