A354195 - cp's OEIS frontend

A354195 a(n) = A064989(sigma(sigma(A003961(n)))), where A003961 shifts the prime factorization one step towards larger primes, and A064989 shifts it back towards smaller primes.

n	a(n)
1	1
2	5
3	2
4	5
5	6
6	6
7	5
8	12
9	1
10	20
11	2
12	10
13	22
14	29
15	29
16	85
17	10
18	5
19	6
20	30
21	66
22	6
23	4
24	58
25	3
26	66
27	25
28	25
29	20
30	113
31	6
32	25
33	5
34	58
35	20
36	5
37	2
38	20
39	15
40	226
41	10
42	220
43	29
44	10
45	6
46	12
47	6
48	170
49	3
50	15
51	12
52	110
53	10
54	145
55	29
56	40
57	319
58	78
59	2
60	145
61	20
62	18
63	5
64	541
65	319
66	29
67	66
68	50
69	110
70	78
71	34
72	12
73	58
74	6
75	66
76	30
77	6
78	87
79	5
80	510
81	8
82	58
83	44

[1, 5, 2, 5, 6, 6, 5, 12, 1, 20, 2, 10, 22, 29, 29, 85, 10, 5, 6, 30, 66, 6, 4, 58, 3, 66, 25, 25, 20, 113, 6, 25, 5, 58, 20, 5, 2, 20, 15, 226, 10, 220, 29, 10, 6, 12, 6, 170, 3, 15, 12, 110, 10, 145, 29, 40, 319, 78, 2, 145, 20, 18, 5, 541, 319, 29, 66, 50, 110, 78, 34, 12, 58, 6, 66, 30, 6, 87, 5, 510, 8, 58, 44]

cp's OEIS Frontend

A354195 a(n) = A064989(sigma(sigma(A003961(n)))), where A003961 shifts the prime factorization one step towards larger primes, and A064989 shifts it back towards smaller primes.

Table of values

List of values

n	a(n)
1	1
2	5
3	2
4	5
5	6
6	6
7	5
8	12
9	1
10	20
11	2
12	10
13	22
14	29
15	29
16	85
17	10
18	5
19	6
20	30
21	66
22	6
23	4
24	58
25	3
26	66
27	25
28	25
29	20
30	113
31	6
32	25
33	5
34	58
35	20
36	5
37	2
38	20
39	15
40	226
41	10
42	220
43	29
44	10
45	6
46	12
47	6
48	170
49	3
50	15
51	12
52	110
53	10
54	145
55	29
56	40
57	319
58	78
59	2
60	145
61	20
62	18
63	5
64	541
65	319
66	29
67	66
68	50
69	110
70	78
71	34
72	12
73	58
74	6
75	66
76	30
77	6
78	87
79	5
80	510
81	8
82	58
83	44

n	a(n)
1	1
2	5
3	2
4	5
5	6
6	6
7	5
8	12
9	1
10	20
11	2
12	10
13	22
14	29
15	29
16	85
17	10
18	5
19	6
20	30
21	66
22	6
23	4
24	58
25	3
26	66
27	25
28	25
29	20
30	113
31	6
32	25
33	5
34	58
35	20
36	5
37	2
38	20
39	15
40	226
41	10
42	220
43	29
44	10
45	6
46	12
47	6
48	170
49	3
50	15
51	12
52	110
53	10
54	145
55	29
56	40
57	319
58	78
59	2
60	145
61	20
62	18
63	5
64	541
65	319
66	29
67	66
68	50
69	110
70	78
71	34
72	12
73	58
74	6
75	66
76	30
77	6
78	87
79	5
80	510
81	8
82	58
83	44

n	a(n)
1	1
2	5
3	2
4	5
5	6
6	6
7	5
8	12
9	1
10	20
11	2
12	10
13	22
14	29
15	29
16	85
17	10
18	5
19	6
20	30
21	66
22	6
23	4
24	58
25	3
26	66
27	25
28	25
29	20
30	113
31	6
32	25
33	5
34	58
35	20
36	5
37	2
38	20
39	15
40	226
41	10
42	220
43	29
44	10
45	6
46	12
47	6
48	170
49	3
50	15
51	12
52	110
53	10
54	145
55	29
56	40
57	319
58	78
59	2
60	145
61	20
62	18
63	5
64	541
65	319
66	29
67	66
68	50
69	110
70	78
71	34
72	12
73	58
74	6
75	66
76	30
77	6
78	87
79	5
80	510
81	8
82	58
83	44