A302024 - cp's OEIS frontend

A302024 Permutation of natural numbers mapping "Fermi-Dirac factorization" to ordinary factorization: a(1) = 1, a(2A300841(n)) = 2a(n), a(A300841(n)) = A003961(a(n)).

n	a(n)
1	1
2	2
3	3
4	5
5	7
6	4
7	11
8	6
9	13
10	10
11	17
12	9
13	19
14	14
15	15
16	23
17	29
18	22
19	31
20	25
21	21
22	26
23	37
24	8
25	41
26	34
27	33
28	35
29	43
30	12
31	47
32	38
33	39
34	46
35	49
36	55
37	53
38	58
39	51
40	18
41	59
42	20
43	61
44	65
45	77
46	62
47	67
48	57
49	71
50	74
51	69
52	85
53	73
54	28
55	91
56	30
57	87
58	82
59	79
60	27
61	83
62	86
63	121
64	95
65	119
66	44
67	89
68	115
69	93
70	50
71	97
72	42
73	101
74	94
75	111
76	145
77	143
78	52
79	103
80	133
81	107
82	106
83	109
84	45
85	161

[1, 2, 3, 5, 7, 4, 11, 6, 13, 10, 17, 9, 19, 14, 15, 23, 29, 22, 31, 25, 21, 26, 37, 8, 41, 34, 33, 35, 43, 12, 47, 38, 39, 46, 49, 55, 53, 58, 51, 18, 59, 20, 61, 65, 77, 62, 67, 57, 71, 74, 69, 85, 73, 28, 91, 30, 87, 82, 79, 27, 83, 86, 121, 95, 119, 44, 89, 115, 93, 50, 97, 42, 101, 94, 111, 145, 143, 52, 103, 133, 107, 106, 109, 45, 161]

cp's OEIS Frontend

A302024 Permutation of natural numbers mapping "Fermi-Dirac factorization" to ordinary factorization: a(1) = 1, a(2A300841(n)) = 2a(n), a(A300841(n)) = A003961(a(n)).

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	5
5	7
6	4
7	11
8	6
9	13
10	10
11	17
12	9
13	19
14	14
15	15
16	23
17	29
18	22
19	31
20	25
21	21
22	26
23	37
24	8
25	41
26	34
27	33
28	35
29	43
30	12
31	47
32	38
33	39
34	46
35	49
36	55
37	53
38	58
39	51
40	18
41	59
42	20
43	61
44	65
45	77
46	62
47	67
48	57
49	71
50	74
51	69
52	85
53	73
54	28
55	91
56	30
57	87
58	82
59	79
60	27
61	83
62	86
63	121
64	95
65	119
66	44
67	89
68	115
69	93
70	50
71	97
72	42
73	101
74	94
75	111
76	145
77	143
78	52
79	103
80	133
81	107
82	106
83	109
84	45
85	161

n	a(n)
1	1
2	2
3	3
4	5
5	7
6	4
7	11
8	6
9	13
10	10
11	17
12	9
13	19
14	14
15	15
16	23
17	29
18	22
19	31
20	25
21	21
22	26
23	37
24	8
25	41
26	34
27	33
28	35
29	43
30	12
31	47
32	38
33	39
34	46
35	49
36	55
37	53
38	58
39	51
40	18
41	59
42	20
43	61
44	65
45	77
46	62
47	67
48	57
49	71
50	74
51	69
52	85
53	73
54	28
55	91
56	30
57	87
58	82
59	79
60	27
61	83
62	86
63	121
64	95
65	119
66	44
67	89
68	115
69	93
70	50
71	97
72	42
73	101
74	94
75	111
76	145
77	143
78	52
79	103
80	133
81	107
82	106
83	109
84	45
85	161

cp's OEIS Frontend

A302024 Permutation of natural numbers mapping "Fermi-Dirac factorization" to ordinary factorization: a(1) = 1, a(2*A300841(n)) = 2*a(n), a(A300841(n)) = A003961(a(n)).

Table of values

List of values

A302024 Permutation of natural numbers mapping "Fermi-Dirac factorization" to ordinary factorization: a(1) = 1, a(2A300841(n)) = 2a(n), a(A300841(n)) = A003961(a(n)).

n	a(n)
1	1
2	2
3	3
4	5
5	7
6	4
7	11
8	6
9	13
10	10
11	17
12	9
13	19
14	14
15	15
16	23
17	29
18	22
19	31
20	25
21	21
22	26
23	37
24	8
25	41
26	34
27	33
28	35
29	43
30	12
31	47
32	38
33	39
34	46
35	49
36	55
37	53
38	58
39	51
40	18
41	59
42	20
43	61
44	65
45	77
46	62
47	67
48	57
49	71
50	74
51	69
52	85
53	73
54	28
55	91
56	30
57	87
58	82
59	79
60	27
61	83
62	86
63	121
64	95
65	119
66	44
67	89
68	115
69	93
70	50
71	97
72	42
73	101
74	94
75	111
76	145
77	143
78	52
79	103
80	133
81	107
82	106
83	109
84	45
85	161