A377182 - cp's OEIS frontend

A377182 Lexicographically earliest infinite sequence of distinct positive integers such that, for n > 2, a(n) shares a factor with a(n-2) mod a(n-1) while a(n-1) mod a(n) has not previously occurred as the mod value for any consecutive pair of terms.

n	a(n)
1	2
2	3
3	4
4	6
5	8
6	9
7	10
8	12
9	14
10	15
11	16
12	18
13	20
14	21
15	22
16	24
17	26
18	27
19	28
20	30
21	32
22	25
23	35
24	40
25	42
26	44
27	33
28	55
29	36
30	38
31	39
32	34
33	45
34	46
35	48
36	50
37	51
38	52
39	54
40	56
41	57
42	58
43	60
44	62
45	63
46	64
47	66
48	68
49	69
50	70
51	72
52	49
53	92
54	98
55	100
56	102
57	65
58	74
59	75
60	76
61	78
62	80
63	81
64	82
65	84
66	86
67	87
68	88
69	90
70	77
71	91
72	99
73	104
74	105
75	106
76	108
77	110
78	93
79	119
80	120
81	126
82	85
83	123
84	125
85	96
86	116
87	117
88	118
89	129
90	130

[2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, 27, 28, 30, 32, 25, 35, 40, 42, 44, 33, 55, 36, 38, 39, 34, 45, 46, 48, 50, 51, 52, 54, 56, 57, 58, 60, 62, 63, 64, 66, 68, 69, 70, 72, 49, 92, 98, 100, 102, 65, 74, 75, 76, 78, 80, 81, 82, 84, 86, 87, 88, 90, 77, 91, 99, 104, 105, 106, 108, 110, 93, 119, 120, 126, 85, 123, 125, 96, 116, 117, 118, 129, 130]

cp's OEIS Frontend

A377182 Lexicographically earliest infinite sequence of distinct positive integers such that, for n > 2, a(n) shares a factor with a(n-2) mod a(n-1) while a(n-1) mod a(n) has not previously occurred as the mod value for any consecutive pair of terms.

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	6
5	8
6	9
7	10
8	12
9	14
10	15
11	16
12	18
13	20
14	21
15	22
16	24
17	26
18	27
19	28
20	30
21	32
22	25
23	35
24	40
25	42
26	44
27	33
28	55
29	36
30	38
31	39
32	34
33	45
34	46
35	48
36	50
37	51
38	52
39	54
40	56
41	57
42	58
43	60
44	62
45	63
46	64
47	66
48	68
49	69
50	70
51	72
52	49
53	92
54	98
55	100
56	102
57	65
58	74
59	75
60	76
61	78
62	80
63	81
64	82
65	84
66	86
67	87
68	88
69	90
70	77
71	91
72	99
73	104
74	105
75	106
76	108
77	110
78	93
79	119
80	120
81	126
82	85
83	123
84	125
85	96
86	116
87	117
88	118
89	129
90	130

n	a(n)
1	2
2	3
3	4
4	6
5	8
6	9
7	10
8	12
9	14
10	15
11	16
12	18
13	20
14	21
15	22
16	24
17	26
18	27
19	28
20	30
21	32
22	25
23	35
24	40
25	42
26	44
27	33
28	55
29	36
30	38
31	39
32	34
33	45
34	46
35	48
36	50
37	51
38	52
39	54
40	56
41	57
42	58
43	60
44	62
45	63
46	64
47	66
48	68
49	69
50	70
51	72
52	49
53	92
54	98
55	100
56	102
57	65
58	74
59	75
60	76
61	78
62	80
63	81
64	82
65	84
66	86
67	87
68	88
69	90
70	77
71	91
72	99
73	104
74	105
75	106
76	108
77	110
78	93
79	119
80	120
81	126
82	85
83	123
84	125
85	96
86	116
87	117
88	118
89	129
90	130

n	a(n)
1	2
2	3
3	4
4	6
5	8
6	9
7	10
8	12
9	14
10	15
11	16
12	18
13	20
14	21
15	22
16	24
17	26
18	27
19	28
20	30
21	32
22	25
23	35
24	40
25	42
26	44
27	33
28	55
29	36
30	38
31	39
32	34
33	45
34	46
35	48
36	50
37	51
38	52
39	54
40	56
41	57
42	58
43	60
44	62
45	63
46	64
47	66
48	68
49	69
50	70
51	72
52	49
53	92
54	98
55	100
56	102
57	65
58	74
59	75
60	76
61	78
62	80
63	81
64	82
65	84
66	86
67	87
68	88
69	90
70	77
71	91
72	99
73	104
74	105
75	106
76	108
77	110
78	93
79	119
80	120
81	126
82	85
83	123
84	125
85	96
86	116
87	117
88	118
89	129
90	130