A297075 - cp's OEIS frontend

A297075 Lexicographically earliest sequence of distinct positive numbers such that the prime factorizations of two consecutive terms never share a prime exponent >= 1.

n	a(n)
1	1
2	2
3	4
4	3
5	8
6	5
7	9
8	6
9	16
10	7
11	25
12	10
13	27
14	11
15	32
16	12
17	64
18	13
19	36
20	14
21	49
22	15
23	72
24	17
25	81
26	18
27	125
28	19
29	100
30	21
31	108
32	22
33	121
34	23
35	128
36	20
37	216
38	26
39	144
40	24
41	169
42	29
43	196
44	30
45	200
46	31
47	225
48	33
49	243
50	28
51	256
52	34
53	288
54	35
55	289
56	37
57	324
58	38
59	343
60	39
61	361
62	40
63	400

[1, 2, 4, 3, 8, 5, 9, 6, 16, 7, 25, 10, 27, 11, 32, 12, 64, 13, 36, 14, 49, 15, 72, 17, 81, 18, 125, 19, 100, 21, 108, 22, 121, 23, 128, 20, 216, 26, 144, 24, 169, 29, 196, 30, 200, 31, 225, 33, 243, 28, 256, 34, 288, 35, 289, 37, 324, 38, 343, 39, 361, 40, 400]

cp's OEIS Frontend

A297075 Lexicographically earliest sequence of distinct positive numbers such that the prime factorizations of two consecutive terms never share a prime exponent >= 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	3
5	8
6	5
7	9
8	6
9	16
10	7
11	25
12	10
13	27
14	11
15	32
16	12
17	64
18	13
19	36
20	14
21	49
22	15
23	72
24	17
25	81
26	18
27	125
28	19
29	100
30	21
31	108
32	22
33	121
34	23
35	128
36	20
37	216
38	26
39	144
40	24
41	169
42	29
43	196
44	30
45	200
46	31
47	225
48	33
49	243
50	28
51	256
52	34
53	288
54	35
55	289
56	37
57	324
58	38
59	343
60	39
61	361
62	40
63	400

n	a(n)
1	1
2	2
3	4
4	3
5	8
6	5
7	9
8	6
9	16
10	7
11	25
12	10
13	27
14	11
15	32
16	12
17	64
18	13
19	36
20	14
21	49
22	15
23	72
24	17
25	81
26	18
27	125
28	19
29	100
30	21
31	108
32	22
33	121
34	23
35	128
36	20
37	216
38	26
39	144
40	24
41	169
42	29
43	196
44	30
45	200
46	31
47	225
48	33
49	243
50	28
51	256
52	34
53	288
54	35
55	289
56	37
57	324
58	38
59	343
60	39
61	361
62	40
63	400

n	a(n)
1	1
2	2
3	4
4	3
5	8
6	5
7	9
8	6
9	16
10	7
11	25
12	10
13	27
14	11
15	32
16	12
17	64
18	13
19	36
20	14
21	49
22	15
23	72
24	17
25	81
26	18
27	125
28	19
29	100
30	21
31	108
32	22
33	121
34	23
35	128
36	20
37	216
38	26
39	144
40	24
41	169
42	29
43	196
44	30
45	200
46	31
47	225
48	33
49	243
50	28
51	256
52	34
53	288
54	35
55	289
56	37
57	324
58	38
59	343
60	39
61	361
62	40
63	400