A109465 - cp's OEIS frontend

A109465 a(1)=1; for n>1, a(n) = smallest positive integer not among the earlier terms of the sequence that is divisible by a different number of distinct primes than a(n-1).

n	a(n)
1	1
2	2
3	6
4	3
5	10
6	4
7	12
8	5
9	14
10	7
11	15
12	8
13	18
14	9
15	20
16	11
17	21
18	13
19	22
20	16
21	24
22	17
23	26
24	19
25	28
26	23
27	30
28	25
29	33
30	27
31	34
32	29
33	35
34	31
35	36
36	32
37	38
38	37
39	39
40	41
41	40
42	42
43	43
44	44
45	47
46	45
47	49
48	46
49	53
50	48
51	59
52	50
53	60
54	51
55	61
56	52
57	64
58	54
59	66
60	55
61	67
62	56
63	70
64	57
65	71
66	58
67	73
68	62
69	78
70	63
71	79
72	65

[1, 2, 6, 3, 10, 4, 12, 5, 14, 7, 15, 8, 18, 9, 20, 11, 21, 13, 22, 16, 24, 17, 26, 19, 28, 23, 30, 25, 33, 27, 34, 29, 35, 31, 36, 32, 38, 37, 39, 41, 40, 42, 43, 44, 47, 45, 49, 46, 53, 48, 59, 50, 60, 51, 61, 52, 64, 54, 66, 55, 67, 56, 70, 57, 71, 58, 73, 62, 78, 63, 79, 65]

cp's OEIS Frontend

A109465 a(1)=1; for n>1, a(n) = smallest positive integer not among the earlier terms of the sequence that is divisible by a different number of distinct primes than a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	6
4	3
5	10
6	4
7	12
8	5
9	14
10	7
11	15
12	8
13	18
14	9
15	20
16	11
17	21
18	13
19	22
20	16
21	24
22	17
23	26
24	19
25	28
26	23
27	30
28	25
29	33
30	27
31	34
32	29
33	35
34	31
35	36
36	32
37	38
38	37
39	39
40	41
41	40
42	42
43	43
44	44
45	47
46	45
47	49
48	46
49	53
50	48
51	59
52	50
53	60
54	51
55	61
56	52
57	64
58	54
59	66
60	55
61	67
62	56
63	70
64	57
65	71
66	58
67	73
68	62
69	78
70	63
71	79
72	65

n	a(n)
1	1
2	2
3	6
4	3
5	10
6	4
7	12
8	5
9	14
10	7
11	15
12	8
13	18
14	9
15	20
16	11
17	21
18	13
19	22
20	16
21	24
22	17
23	26
24	19
25	28
26	23
27	30
28	25
29	33
30	27
31	34
32	29
33	35
34	31
35	36
36	32
37	38
38	37
39	39
40	41
41	40
42	42
43	43
44	44
45	47
46	45
47	49
48	46
49	53
50	48
51	59
52	50
53	60
54	51
55	61
56	52
57	64
58	54
59	66
60	55
61	67
62	56
63	70
64	57
65	71
66	58
67	73
68	62
69	78
70	63
71	79
72	65

n	a(n)
1	1
2	2
3	6
4	3
5	10
6	4
7	12
8	5
9	14
10	7
11	15
12	8
13	18
14	9
15	20
16	11
17	21
18	13
19	22
20	16
21	24
22	17
23	26
24	19
25	28
26	23
27	30
28	25
29	33
30	27
31	34
32	29
33	35
34	31
35	36
36	32
37	38
38	37
39	39
40	41
41	40
42	42
43	43
44	44
45	47
46	45
47	49
48	46
49	53
50	48
51	59
52	50
53	60
54	51
55	61
56	52
57	64
58	54
59	66
60	55
61	67
62	56
63	70
64	57
65	71
66	58
67	73
68	62
69	78
70	63
71	79
72	65