A367082 - cp's OEIS frontend

A367082 a(1), a(2) = 2. Thereafter a(n) is the least novel multiple of the greatest prime which divides precisely one of a(n-1), a(n-2) but not the other. If no such prime exists a(n) is the least novel multiple of the smallest prime dividing neither a(n-1) nor a(n-2).

n	a(n)
1	1
2	2
3	4
4	3
5	6
6	8
7	9
8	12
9	10
10	5
11	14
12	7
13	16
14	21
15	28
16	15
17	35
18	42
19	20
20	49
21	56
22	18
23	63
24	70
25	25
26	77
27	11
28	84
29	22
30	33
31	24
32	44
33	55
34	30
35	66
36	88
37	27
38	99
39	110
40	40
41	121
42	132
43	36
44	143
45	13
46	154
47	26
48	39
49	45
50	52
51	65
52	50
53	78
54	91
55	98
56	104
57	117
58	48
59	130
60	156
61	60
62	169
63	182
64	105
65	195
66	208
67	75
68	221
69	17
70	234
71	34
72	51
73	54
74	68
75	85
76	80
77	102
78	119

[1, 2, 4, 3, 6, 8, 9, 12, 10, 5, 14, 7, 16, 21, 28, 15, 35, 42, 20, 49, 56, 18, 63, 70, 25, 77, 11, 84, 22, 33, 24, 44, 55, 30, 66, 88, 27, 99, 110, 40, 121, 132, 36, 143, 13, 154, 26, 39, 45, 52, 65, 50, 78, 91, 98, 104, 117, 48, 130, 156, 60, 169, 182, 105, 195, 208, 75, 221, 17, 234, 34, 51, 54, 68, 85, 80, 102, 119]

cp's OEIS Frontend

A367082 a(1), a(2) = 2. Thereafter a(n) is the least novel multiple of the greatest prime which divides precisely one of a(n-1), a(n-2) but not the other. If no such prime exists a(n) is the least novel multiple of the smallest prime dividing neither a(n-1) nor a(n-2).

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	3
5	6
6	8
7	9
8	12
9	10
10	5
11	14
12	7
13	16
14	21
15	28
16	15
17	35
18	42
19	20
20	49
21	56
22	18
23	63
24	70
25	25
26	77
27	11
28	84
29	22
30	33
31	24
32	44
33	55
34	30
35	66
36	88
37	27
38	99
39	110
40	40
41	121
42	132
43	36
44	143
45	13
46	154
47	26
48	39
49	45
50	52
51	65
52	50
53	78
54	91
55	98
56	104
57	117
58	48
59	130
60	156
61	60
62	169
63	182
64	105
65	195
66	208
67	75
68	221
69	17
70	234
71	34
72	51
73	54
74	68
75	85
76	80
77	102
78	119

n	a(n)
1	1
2	2
3	4
4	3
5	6
6	8
7	9
8	12
9	10
10	5
11	14
12	7
13	16
14	21
15	28
16	15
17	35
18	42
19	20
20	49
21	56
22	18
23	63
24	70
25	25
26	77
27	11
28	84
29	22
30	33
31	24
32	44
33	55
34	30
35	66
36	88
37	27
38	99
39	110
40	40
41	121
42	132
43	36
44	143
45	13
46	154
47	26
48	39
49	45
50	52
51	65
52	50
53	78
54	91
55	98
56	104
57	117
58	48
59	130
60	156
61	60
62	169
63	182
64	105
65	195
66	208
67	75
68	221
69	17
70	234
71	34
72	51
73	54
74	68
75	85
76	80
77	102
78	119

n	a(n)
1	1
2	2
3	4
4	3
5	6
6	8
7	9
8	12
9	10
10	5
11	14
12	7
13	16
14	21
15	28
16	15
17	35
18	42
19	20
20	49
21	56
22	18
23	63
24	70
25	25
26	77
27	11
28	84
29	22
30	33
31	24
32	44
33	55
34	30
35	66
36	88
37	27
38	99
39	110
40	40
41	121
42	132
43	36
44	143
45	13
46	154
47	26
48	39
49	45
50	52
51	65
52	50
53	78
54	91
55	98
56	104
57	117
58	48
59	130
60	156
61	60
62	169
63	182
64	105
65	195
66	208
67	75
68	221
69	17
70	234
71	34
72	51
73	54
74	68
75	85
76	80
77	102
78	119