A353916 - cp's OEIS frontend

A353916 a(1) = 1, a(2) = 2. Let j = a(n-1) and let m = omega(gcd(j, k)) with gcd(j, k) > 1. For n > 2, a(n) = least k such that min(omega(j), omega(k)) = m and m < max(omega(j), omega(k)).

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	4
7	10
8	5
9	15
10	9
11	18
12	8
13	14
14	7
15	21
16	27
17	24
18	16
19	20
20	25
21	30
22	32
23	22
24	11
25	33
26	66
27	36
28	42
29	28
30	49
31	35
32	70
33	40
34	60
35	45
36	81
37	39
38	13
39	26
40	64
41	34
42	17
43	51
44	102
45	48
46	78
47	52
48	128
49	38
50	19
51	57
52	114
53	54
54	84
55	56
56	126
57	63
58	105
59	75
60	90
61	50
62	110
63	44
64	121
65	55
66	125

[1, 2, 6, 3, 12, 4, 10, 5, 15, 9, 18, 8, 14, 7, 21, 27, 24, 16, 20, 25, 30, 32, 22, 11, 33, 66, 36, 42, 28, 49, 35, 70, 40, 60, 45, 81, 39, 13, 26, 64, 34, 17, 51, 102, 48, 78, 52, 128, 38, 19, 57, 114, 54, 84, 56, 126, 63, 105, 75, 90, 50, 110, 44, 121, 55, 125]

cp's OEIS Frontend

A353916 a(1) = 1, a(2) = 2. Let j = a(n-1) and let m = omega(gcd(j, k)) with gcd(j, k) > 1. For n > 2, a(n) = least k such that min(omega(j), omega(k)) = m and m < max(omega(j), omega(k)).

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	4
7	10
8	5
9	15
10	9
11	18
12	8
13	14
14	7
15	21
16	27
17	24
18	16
19	20
20	25
21	30
22	32
23	22
24	11
25	33
26	66
27	36
28	42
29	28
30	49
31	35
32	70
33	40
34	60
35	45
36	81
37	39
38	13
39	26
40	64
41	34
42	17
43	51
44	102
45	48
46	78
47	52
48	128
49	38
50	19
51	57
52	114
53	54
54	84
55	56
56	126
57	63
58	105
59	75
60	90
61	50
62	110
63	44
64	121
65	55
66	125

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	4
7	10
8	5
9	15
10	9
11	18
12	8
13	14
14	7
15	21
16	27
17	24
18	16
19	20
20	25
21	30
22	32
23	22
24	11
25	33
26	66
27	36
28	42
29	28
30	49
31	35
32	70
33	40
34	60
35	45
36	81
37	39
38	13
39	26
40	64
41	34
42	17
43	51
44	102
45	48
46	78
47	52
48	128
49	38
50	19
51	57
52	114
53	54
54	84
55	56
56	126
57	63
58	105
59	75
60	90
61	50
62	110
63	44
64	121
65	55
66	125

n	a(n)
1	1
2	2
3	6
4	3
5	12
6	4
7	10
8	5
9	15
10	9
11	18
12	8
13	14
14	7
15	21
16	27
17	24
18	16
19	20
20	25
21	30
22	32
23	22
24	11
25	33
26	66
27	36
28	42
29	28
30	49
31	35
32	70
33	40
34	60
35	45
36	81
37	39
38	13
39	26
40	64
41	34
42	17
43	51
44	102
45	48
46	78
47	52
48	128
49	38
50	19
51	57
52	114
53	54
54	84
55	56
56	126
57	63
58	105
59	75
60	90
61	50
62	110
63	44
64	121
65	55
66	125