A353917 - cp's OEIS frontend

A353917 a(1) = 4. Let j = a(n-1) and let m = omega(gcd(j, k)) with gcd(j, k) > 1. For n > 1, a(n) = least k such that min(omega(j), omega(k)) = m and m < max(omega(j), omega(k)), but neither j | k nor k | j.

n	a(n)
1	4
2	6
3	8
4	10
5	16
6	12
7	9
8	15
9	25
10	20
11	30
12	18
13	27
14	21
15	49
16	14
17	32
18	22
19	64
20	24
21	42
22	28
23	70
24	40
25	60
26	36
27	66
28	44
29	110
30	50
31	90
32	48
33	78
34	52
35	128
36	26
37	169
38	39
39	81
40	33
41	121
42	55
43	125
44	35
45	343
46	56
47	84
48	54
49	102
50	68
51	170
52	80
53	120
54	45
55	105
56	63
57	168
58	72
59	114
60	76
61	190
62	100
63	130

[4, 6, 8, 10, 16, 12, 9, 15, 25, 20, 30, 18, 27, 21, 49, 14, 32, 22, 64, 24, 42, 28, 70, 40, 60, 36, 66, 44, 110, 50, 90, 48, 78, 52, 128, 26, 169, 39, 81, 33, 121, 55, 125, 35, 343, 56, 84, 54, 102, 68, 170, 80, 120, 45, 105, 63, 168, 72, 114, 76, 190, 100, 130]

cp's OEIS Frontend

A353917 a(1) = 4. Let j = a(n-1) and let m = omega(gcd(j, k)) with gcd(j, k) > 1. For n > 1, a(n) = least k such that min(omega(j), omega(k)) = m and m < max(omega(j), omega(k)), but neither j | k nor k | j.

Table of values

List of values

n	a(n)
1	4
2	6
3	8
4	10
5	16
6	12
7	9
8	15
9	25
10	20
11	30
12	18
13	27
14	21
15	49
16	14
17	32
18	22
19	64
20	24
21	42
22	28
23	70
24	40
25	60
26	36
27	66
28	44
29	110
30	50
31	90
32	48
33	78
34	52
35	128
36	26
37	169
38	39
39	81
40	33
41	121
42	55
43	125
44	35
45	343
46	56
47	84
48	54
49	102
50	68
51	170
52	80
53	120
54	45
55	105
56	63
57	168
58	72
59	114
60	76
61	190
62	100
63	130

n	a(n)
1	4
2	6
3	8
4	10
5	16
6	12
7	9
8	15
9	25
10	20
11	30
12	18
13	27
14	21
15	49
16	14
17	32
18	22
19	64
20	24
21	42
22	28
23	70
24	40
25	60
26	36
27	66
28	44
29	110
30	50
31	90
32	48
33	78
34	52
35	128
36	26
37	169
38	39
39	81
40	33
41	121
42	55
43	125
44	35
45	343
46	56
47	84
48	54
49	102
50	68
51	170
52	80
53	120
54	45
55	105
56	63
57	168
58	72
59	114
60	76
61	190
62	100
63	130

n	a(n)
1	4
2	6
3	8
4	10
5	16
6	12
7	9
8	15
9	25
10	20
11	30
12	18
13	27
14	21
15	49
16	14
17	32
18	22
19	64
20	24
21	42
22	28
23	70
24	40
25	60
26	36
27	66
28	44
29	110
30	50
31	90
32	48
33	78
34	52
35	128
36	26
37	169
38	39
39	81
40	33
41	121
42	55
43	125
44	35
45	343
46	56
47	84
48	54
49	102
50	68
51	170
52	80
53	120
54	45
55	105
56	63
57	168
58	72
59	114
60	76
61	190
62	100
63	130