A364164 - cp's OEIS frontend

A364164 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has the same number of distinct prime factors as the sum of all previous terms.

n	a(n)
1	1
2	2
3	3
4	6
5	10
6	12
7	14
8	15
9	18
10	4
11	20
12	30
13	21
14	42
15	60
16	66
17	22
18	24
19	70
20	78
21	84
22	90
23	26
24	28
25	33
26	34
27	35
28	36
29	102
30	105
31	5
32	38
33	110
34	39
35	7
36	210
37	114
38	120
39	126
40	330
41	390
42	420
43	130
44	132
45	138
46	140
47	462
48	510
49	150
50	546
51	570
52	154
53	40
54	44
55	45
56	156
57	8
58	165
59	630
60	660
61	168
62	170
63	174
64	9
65	46
66	48
67	690

[1, 2, 3, 6, 10, 12, 14, 15, 18, 4, 20, 30, 21, 42, 60, 66, 22, 24, 70, 78, 84, 90, 26, 28, 33, 34, 35, 36, 102, 105, 5, 38, 110, 39, 7, 210, 114, 120, 126, 330, 390, 420, 130, 132, 138, 140, 462, 510, 150, 546, 570, 154, 40, 44, 45, 156, 8, 165, 630, 660, 168, 170, 174, 9, 46, 48, 690]

cp's OEIS Frontend

A364164 a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared that has the same number of distinct prime factors as the sum of all previous terms.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	6
5	10
6	12
7	14
8	15
9	18
10	4
11	20
12	30
13	21
14	42
15	60
16	66
17	22
18	24
19	70
20	78
21	84
22	90
23	26
24	28
25	33
26	34
27	35
28	36
29	102
30	105
31	5
32	38
33	110
34	39
35	7
36	210
37	114
38	120
39	126
40	330
41	390
42	420
43	130
44	132
45	138
46	140
47	462
48	510
49	150
50	546
51	570
52	154
53	40
54	44
55	45
56	156
57	8
58	165
59	630
60	660
61	168
62	170
63	174
64	9
65	46
66	48
67	690

n	a(n)
1	1
2	2
3	3
4	6
5	10
6	12
7	14
8	15
9	18
10	4
11	20
12	30
13	21
14	42
15	60
16	66
17	22
18	24
19	70
20	78
21	84
22	90
23	26
24	28
25	33
26	34
27	35
28	36
29	102
30	105
31	5
32	38
33	110
34	39
35	7
36	210
37	114
38	120
39	126
40	330
41	390
42	420
43	130
44	132
45	138
46	140
47	462
48	510
49	150
50	546
51	570
52	154
53	40
54	44
55	45
56	156
57	8
58	165
59	630
60	660
61	168
62	170
63	174
64	9
65	46
66	48
67	690

n	a(n)
1	1
2	2
3	3
4	6
5	10
6	12
7	14
8	15
9	18
10	4
11	20
12	30
13	21
14	42
15	60
16	66
17	22
18	24
19	70
20	78
21	84
22	90
23	26
24	28
25	33
26	34
27	35
28	36
29	102
30	105
31	5
32	38
33	110
34	39
35	7
36	210
37	114
38	120
39	126
40	330
41	390
42	420
43	130
44	132
45	138
46	140
47	462
48	510
49	150
50	546
51	570
52	154
53	40
54	44
55	45
56	156
57	8
58	165
59	630
60	660
61	168
62	170
63	174
64	9
65	46
66	48
67	690