A348993 - cp's OEIS frontend

A348993 a(n) = A064989(sigma(n) / gcd(sigma(n), A003961(n))), where A003961 shifts the prime factorization of n one step towards larger primes, while A064989 shifts it back towards smaller primes, and sigma is the sum of divisors function.

n	a(n)
1	1
2	1
3	1
4	5
5	2
6	1
7	1
8	3
9	11
10	2
11	2
12	5
13	5
14	1
15	2
16	29
17	4
18	11
19	3
20	1
21	1
22	2
23	2
24	1
25	29
26	5
27	1
28	5
29	6
30	2
31	1
32	5
33	2
34	4
35	2
36	55
37	17
38	3
39	5
40	3
41	10
42	1
43	7
44	5
45	22
46	2
47	2
48	29
49	34
50	29
51	4
52	25
53	8
54	1
55	4
56	3
57	1
58	6
59	6
60	1
61	29
62	1
63	11
64	113
65	2
66	2
67	13
68	5
69	2
70	2
71	4
72	11
73	31
74	17
75	29
76	15
77	2
78	5
79	3
80	29
81	49
82	10
83	10
84	5
85	8
86	7
87	2
88	3
89	12
90	22
91	5
92	5
93	1
94	2
95	6
96	5

[1, 1, 1, 5, 2, 1, 1, 3, 11, 2, 2, 5, 5, 1, 2, 29, 4, 11, 3, 1, 1, 2, 2, 1, 29, 5, 1, 5, 6, 2, 1, 5, 2, 4, 2, 55, 17, 3, 5, 3, 10, 1, 7, 5, 22, 2, 2, 29, 34, 29, 4, 25, 8, 1, 4, 3, 1, 6, 6, 1, 29, 1, 11, 113, 2, 2, 13, 5, 2, 2, 4, 11, 31, 17, 29, 15, 2, 5, 3, 29, 49, 10, 10, 5, 8, 7, 2, 3, 12, 22, 5, 5, 1, 2, 6, 5]

cp's OEIS Frontend

A348993 a(n) = A064989(sigma(n) / gcd(sigma(n), A003961(n))), where A003961 shifts the prime factorization of n one step towards larger primes, while A064989 shifts it back towards smaller 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	5
5	2
6	1
7	1
8	3
9	11
10	2
11	2
12	5
13	5
14	1
15	2
16	29
17	4
18	11
19	3
20	1
21	1
22	2
23	2
24	1
25	29
26	5
27	1
28	5
29	6
30	2
31	1
32	5
33	2
34	4
35	2
36	55
37	17
38	3
39	5
40	3
41	10
42	1
43	7
44	5
45	22
46	2
47	2
48	29
49	34
50	29
51	4
52	25
53	8
54	1
55	4
56	3
57	1
58	6
59	6
60	1
61	29
62	1
63	11
64	113
65	2
66	2
67	13
68	5
69	2
70	2
71	4
72	11
73	31
74	17
75	29
76	15
77	2
78	5
79	3
80	29
81	49
82	10
83	10
84	5
85	8
86	7
87	2
88	3
89	12
90	22
91	5
92	5
93	1
94	2
95	6
96	5

n	a(n)
1	1
2	1
3	1
4	5
5	2
6	1
7	1
8	3
9	11
10	2
11	2
12	5
13	5
14	1
15	2
16	29
17	4
18	11
19	3
20	1
21	1
22	2
23	2
24	1
25	29
26	5
27	1
28	5
29	6
30	2
31	1
32	5
33	2
34	4
35	2
36	55
37	17
38	3
39	5
40	3
41	10
42	1
43	7
44	5
45	22
46	2
47	2
48	29
49	34
50	29
51	4
52	25
53	8
54	1
55	4
56	3
57	1
58	6
59	6
60	1
61	29
62	1
63	11
64	113
65	2
66	2
67	13
68	5
69	2
70	2
71	4
72	11
73	31
74	17
75	29
76	15
77	2
78	5
79	3
80	29
81	49
82	10
83	10
84	5
85	8
86	7
87	2
88	3
89	12
90	22
91	5
92	5
93	1
94	2
95	6
96	5

n	a(n)
1	1
2	1
3	1
4	5
5	2
6	1
7	1
8	3
9	11
10	2
11	2
12	5
13	5
14	1
15	2
16	29
17	4
18	11
19	3
20	1
21	1
22	2
23	2
24	1
25	29
26	5
27	1
28	5
29	6
30	2
31	1
32	5
33	2
34	4
35	2
36	55
37	17
38	3
39	5
40	3
41	10
42	1
43	7
44	5
45	22
46	2
47	2
48	29
49	34
50	29
51	4
52	25
53	8
54	1
55	4
56	3
57	1
58	6
59	6
60	1
61	29
62	1
63	11
64	113
65	2
66	2
67	13
68	5
69	2
70	2
71	4
72	11
73	31
74	17
75	29
76	15
77	2
78	5
79	3
80	29
81	49
82	10
83	10
84	5
85	8
86	7
87	2
88	3
89	12
90	22
91	5
92	5
93	1
94	2
95	6
96	5