A235199 - cp's OEIS frontend

A235199 Self-inverse and multiplicative permutation of integers: For n < 4, a(n)=n, a(5)=7 and a(7)=5, a(p_i) = p_{a(i)} for primes with index i > 4, and a(u * v) = a(u) * a(v) for u, v > 0.

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	7
6	6
7	5
8	8
9	9
10	14
11	17
12	12
13	13
14	10
15	21
16	16
17	11
18	18
19	19
20	28
21	15
22	34
23	23
24	24
25	49
26	26
27	27
28	20
29	43
30	42
31	59
32	32
33	51
34	22
35	35
36	36
37	37
38	38
39	39
40	56
41	41
42	30
43	29
44	68
45	63
46	46
47	73
48	48
49	25
50	98
51	33
52	52
53	53
54	54
55	119
56	40
57	57
58	86
59	31
60	84
61	61
62	118
63	45
64	64
65	91
66	102

[0, 1, 2, 3, 4, 7, 6, 5, 8, 9, 14, 17, 12, 13, 10, 21, 16, 11, 18, 19, 28, 15, 34, 23, 24, 49, 26, 27, 20, 43, 42, 59, 32, 51, 22, 35, 36, 37, 38, 39, 56, 41, 30, 29, 68, 63, 46, 73, 48, 25, 98, 33, 52, 53, 54, 119, 40, 57, 86, 31, 84, 61, 118, 45, 64, 91, 102]

cp's OEIS Frontend

A235199 Self-inverse and multiplicative permutation of integers: For n < 4, a(n)=n, a(5)=7 and a(7)=5, a(p_i) = p_{a(i)} for primes with index i > 4, and a(u * v) = a(u) * a(v) for u, v > 0.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	7
6	6
7	5
8	8
9	9
10	14
11	17
12	12
13	13
14	10
15	21
16	16
17	11
18	18
19	19
20	28
21	15
22	34
23	23
24	24
25	49
26	26
27	27
28	20
29	43
30	42
31	59
32	32
33	51
34	22
35	35
36	36
37	37
38	38
39	39
40	56
41	41
42	30
43	29
44	68
45	63
46	46
47	73
48	48
49	25
50	98
51	33
52	52
53	53
54	54
55	119
56	40
57	57
58	86
59	31
60	84
61	61
62	118
63	45
64	64
65	91
66	102

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	7
6	6
7	5
8	8
9	9
10	14
11	17
12	12
13	13
14	10
15	21
16	16
17	11
18	18
19	19
20	28
21	15
22	34
23	23
24	24
25	49
26	26
27	27
28	20
29	43
30	42
31	59
32	32
33	51
34	22
35	35
36	36
37	37
38	38
39	39
40	56
41	41
42	30
43	29
44	68
45	63
46	46
47	73
48	48
49	25
50	98
51	33
52	52
53	53
54	54
55	119
56	40
57	57
58	86
59	31
60	84
61	61
62	118
63	45
64	64
65	91
66	102

n	a(n)
0	0
1	1
2	2
3	3
4	4
5	7
6	6
7	5
8	8
9	9
10	14
11	17
12	12
13	13
14	10
15	21
16	16
17	11
18	18
19	19
20	28
21	15
22	34
23	23
24	24
25	49
26	26
27	27
28	20
29	43
30	42
31	59
32	32
33	51
34	22
35	35
36	36
37	37
38	38
39	39
40	56
41	41
42	30
43	29
44	68
45	63
46	46
47	73
48	48
49	25
50	98
51	33
52	52
53	53
54	54
55	119
56	40
57	57
58	86
59	31
60	84
61	61
62	118
63	45
64	64
65	91
66	102