A246379 - cp's OEIS frontend

A246379 Permutation of natural numbers: a(1) = 1, a(p_n) = A003961(1+a(n)), a(c_n) = 2*a(n), where p_n = n-th prime = A000040(n), c_n = n-th composite number = A002808(n), and A003961(n) shifts the prime factorization of n one step towards larger primes.

n	a(n)
1	1
2	3
3	9
4	2
5	21
6	6
7	5
8	18
9	4
10	42
11	39
12	12
13	11
14	10
15	36
16	8
17	15
18	84
19	23
20	78
21	24
22	22
23	7
24	20
25	72
26	16
27	30
28	168
29	47
30	46
31	189
32	156
33	48
34	44
35	14
36	40
37	17
38	144
39	32
40	60
41	45
42	336
43	13
44	94
45	92
46	378
47	41
48	312
49	96
50	88
51	28
52	80
53	25
54	34
55	288
56	64
57	120
58	90
59	81
60	672
61	133
62	26
63	188
64	184
65	756
66	82
67	135
68	624
69	192
70	176
71	83
72	56
73	49

[1, 3, 9, 2, 21, 6, 5, 18, 4, 42, 39, 12, 11, 10, 36, 8, 15, 84, 23, 78, 24, 22, 7, 20, 72, 16, 30, 168, 47, 46, 189, 156, 48, 44, 14, 40, 17, 144, 32, 60, 45, 336, 13, 94, 92, 378, 41, 312, 96, 88, 28, 80, 25, 34, 288, 64, 120, 90, 81, 672, 133, 26, 188, 184, 756, 82, 135, 624, 192, 176, 83, 56, 49]

cp's OEIS Frontend

A246379 Permutation of natural numbers: a(1) = 1, a(p_n) = A003961(1+a(n)), a(c_n) = 2*a(n), where p_n = n-th prime = A000040(n), c_n = n-th composite number = A002808(n), and A003961(n) shifts the prime factorization of n one step towards larger primes.

Table of values

List of values

n	a(n)
1	1
2	3
3	9
4	2
5	21
6	6
7	5
8	18
9	4
10	42
11	39
12	12
13	11
14	10
15	36
16	8
17	15
18	84
19	23
20	78
21	24
22	22
23	7
24	20
25	72
26	16
27	30
28	168
29	47
30	46
31	189
32	156
33	48
34	44
35	14
36	40
37	17
38	144
39	32
40	60
41	45
42	336
43	13
44	94
45	92
46	378
47	41
48	312
49	96
50	88
51	28
52	80
53	25
54	34
55	288
56	64
57	120
58	90
59	81
60	672
61	133
62	26
63	188
64	184
65	756
66	82
67	135
68	624
69	192
70	176
71	83
72	56
73	49

n	a(n)
1	1
2	3
3	9
4	2
5	21
6	6
7	5
8	18
9	4
10	42
11	39
12	12
13	11
14	10
15	36
16	8
17	15
18	84
19	23
20	78
21	24
22	22
23	7
24	20
25	72
26	16
27	30
28	168
29	47
30	46
31	189
32	156
33	48
34	44
35	14
36	40
37	17
38	144
39	32
40	60
41	45
42	336
43	13
44	94
45	92
46	378
47	41
48	312
49	96
50	88
51	28
52	80
53	25
54	34
55	288
56	64
57	120
58	90
59	81
60	672
61	133
62	26
63	188
64	184
65	756
66	82
67	135
68	624
69	192
70	176
71	83
72	56
73	49

n	a(n)
1	1
2	3
3	9
4	2
5	21
6	6
7	5
8	18
9	4
10	42
11	39
12	12
13	11
14	10
15	36
16	8
17	15
18	84
19	23
20	78
21	24
22	22
23	7
24	20
25	72
26	16
27	30
28	168
29	47
30	46
31	189
32	156
33	48
34	44
35	14
36	40
37	17
38	144
39	32
40	60
41	45
42	336
43	13
44	94
45	92
46	378
47	41
48	312
49	96
50	88
51	28
52	80
53	25
54	34
55	288
56	64
57	120
58	90
59	81
60	672
61	133
62	26
63	188
64	184
65	756
66	82
67	135
68	624
69	192
70	176
71	83
72	56
73	49