A349161 - cp's OEIS frontend

A349161 a(n) = A003961(n) / gcd(sigma(n), A003961(n)), 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	5
4	9
5	7
6	5
7	11
8	9
9	25
10	7
11	13
12	45
13	17
14	11
15	35
16	81
17	19
18	25
19	23
20	3
21	55
22	13
23	29
24	9
25	49
26	17
27	25
28	99
29	31
30	35
31	37
32	27
33	65
34	19
35	77
36	225
37	41
38	23
39	85
40	21
41	43
42	55
43	47
44	39
45	175
46	29
47	53
48	405
49	121
50	49
51	95
52	153
53	59
54	25
55	91
56	99
57	23
58	31
59	61
60	15
61	67
62	37
63	275
64	729
65	17
66	65
67	71
68	19
69	145
70	77
71	73
72	45
73	79
74	41
75	245
76	207
77	143
78	85
79	83

[1, 1, 5, 9, 7, 5, 11, 9, 25, 7, 13, 45, 17, 11, 35, 81, 19, 25, 23, 3, 55, 13, 29, 9, 49, 17, 25, 99, 31, 35, 37, 27, 65, 19, 77, 225, 41, 23, 85, 21, 43, 55, 47, 39, 175, 29, 53, 405, 121, 49, 95, 153, 59, 25, 91, 99, 23, 31, 61, 15, 67, 37, 275, 729, 17, 65, 71, 19, 145, 77, 73, 45, 79, 41, 245, 207, 143, 85, 83]

cp's OEIS Frontend

A349161 a(n) = A003961(n) / gcd(sigma(n), A003961(n)), 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	5
4	9
5	7
6	5
7	11
8	9
9	25
10	7
11	13
12	45
13	17
14	11
15	35
16	81
17	19
18	25
19	23
20	3
21	55
22	13
23	29
24	9
25	49
26	17
27	25
28	99
29	31
30	35
31	37
32	27
33	65
34	19
35	77
36	225
37	41
38	23
39	85
40	21
41	43
42	55
43	47
44	39
45	175
46	29
47	53
48	405
49	121
50	49
51	95
52	153
53	59
54	25
55	91
56	99
57	23
58	31
59	61
60	15
61	67
62	37
63	275
64	729
65	17
66	65
67	71
68	19
69	145
70	77
71	73
72	45
73	79
74	41
75	245
76	207
77	143
78	85
79	83

n	a(n)
1	1
2	1
3	5
4	9
5	7
6	5
7	11
8	9
9	25
10	7
11	13
12	45
13	17
14	11
15	35
16	81
17	19
18	25
19	23
20	3
21	55
22	13
23	29
24	9
25	49
26	17
27	25
28	99
29	31
30	35
31	37
32	27
33	65
34	19
35	77
36	225
37	41
38	23
39	85
40	21
41	43
42	55
43	47
44	39
45	175
46	29
47	53
48	405
49	121
50	49
51	95
52	153
53	59
54	25
55	91
56	99
57	23
58	31
59	61
60	15
61	67
62	37
63	275
64	729
65	17
66	65
67	71
68	19
69	145
70	77
71	73
72	45
73	79
74	41
75	245
76	207
77	143
78	85
79	83

n	a(n)
1	1
2	1
3	5
4	9
5	7
6	5
7	11
8	9
9	25
10	7
11	13
12	45
13	17
14	11
15	35
16	81
17	19
18	25
19	23
20	3
21	55
22	13
23	29
24	9
25	49
26	17
27	25
28	99
29	31
30	35
31	37
32	27
33	65
34	19
35	77
36	225
37	41
38	23
39	85
40	21
41	43
42	55
43	47
44	39
45	175
46	29
47	53
48	405
49	121
50	49
51	95
52	153
53	59
54	25
55	91
56	99
57	23
58	31
59	61
60	15
61	67
62	37
63	275
64	729
65	17
66	65
67	71
68	19
69	145
70	77
71	73
72	45
73	79
74	41
75	245
76	207
77	143
78	85
79	83