A348086 - cp's OEIS frontend

A348086 Variation of the EKG sequence A064413: a(n) is the smallest number not already used which shares a factor with a(n-1) and has a different number of divisors than a(n-1).

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	8
9	16
10	10
11	5
12	15
13	18
14	14
15	7
16	21
17	24
18	20
19	22
20	11
21	33
22	30
23	25
24	35
25	28
26	26
27	13
28	39
29	36
30	27
31	42
32	32
33	34
34	17
35	51
36	45
37	40
38	38
39	19
40	57
41	48
42	44
43	46
44	23
45	69
46	54
47	50
48	55
49	60
50	52
51	56
52	49
53	63
54	66
55	58
56	29
57	87
58	72
59	62
60	31
61	93
62	75
63	65
64	70
65	64
66	68
67	74
68	37
69	111
70	78
71	76
72	80
73	82
74	41
75	123
76	81

[1, 2, 4, 6, 3, 9, 12, 8, 16, 10, 5, 15, 18, 14, 7, 21, 24, 20, 22, 11, 33, 30, 25, 35, 28, 26, 13, 39, 36, 27, 42, 32, 34, 17, 51, 45, 40, 38, 19, 57, 48, 44, 46, 23, 69, 54, 50, 55, 60, 52, 56, 49, 63, 66, 58, 29, 87, 72, 62, 31, 93, 75, 65, 70, 64, 68, 74, 37, 111, 78, 76, 80, 82, 41, 123, 81]

cp's OEIS Frontend

A348086 Variation of the EKG sequence A064413: a(n) is the smallest number not already used which shares a factor with a(n-1) and has a different number of divisors than a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	8
9	16
10	10
11	5
12	15
13	18
14	14
15	7
16	21
17	24
18	20
19	22
20	11
21	33
22	30
23	25
24	35
25	28
26	26
27	13
28	39
29	36
30	27
31	42
32	32
33	34
34	17
35	51
36	45
37	40
38	38
39	19
40	57
41	48
42	44
43	46
44	23
45	69
46	54
47	50
48	55
49	60
50	52
51	56
52	49
53	63
54	66
55	58
56	29
57	87
58	72
59	62
60	31
61	93
62	75
63	65
64	70
65	64
66	68
67	74
68	37
69	111
70	78
71	76
72	80
73	82
74	41
75	123
76	81

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	8
9	16
10	10
11	5
12	15
13	18
14	14
15	7
16	21
17	24
18	20
19	22
20	11
21	33
22	30
23	25
24	35
25	28
26	26
27	13
28	39
29	36
30	27
31	42
32	32
33	34
34	17
35	51
36	45
37	40
38	38
39	19
40	57
41	48
42	44
43	46
44	23
45	69
46	54
47	50
48	55
49	60
50	52
51	56
52	49
53	63
54	66
55	58
56	29
57	87
58	72
59	62
60	31
61	93
62	75
63	65
64	70
65	64
66	68
67	74
68	37
69	111
70	78
71	76
72	80
73	82
74	41
75	123
76	81

n	a(n)
1	1
2	2
3	4
4	6
5	3
6	9
7	12
8	8
9	16
10	10
11	5
12	15
13	18
14	14
15	7
16	21
17	24
18	20
19	22
20	11
21	33
22	30
23	25
24	35
25	28
26	26
27	13
28	39
29	36
30	27
31	42
32	32
33	34
34	17
35	51
36	45
37	40
38	38
39	19
40	57
41	48
42	44
43	46
44	23
45	69
46	54
47	50
48	55
49	60
50	52
51	56
52	49
53	63
54	66
55	58
56	29
57	87
58	72
59	62
60	31
61	93
62	75
63	65
64	70
65	64
66	68
67	74
68	37
69	111
70	78
71	76
72	80
73	82
74	41
75	123
76	81