A379248 - cp's OEIS frontend

A379248 a(1) = 1, a(2) = 2, for a(n) > 2, a(n) is the smallest unused positive number that shares a factor with a(n-1) while no exponent of each distinct prime factor of a(n) is the same as the exponent of the same prime factor of a(n-1).

n	a(n)
1	1
2	2
3	4
4	6
5	8
6	10
7	12
8	9
9	3
10	18
11	15
12	25
13	5
14	50
15	16
16	14
17	20
18	22
19	24
20	26
21	28
22	30
23	27
24	21
25	36
26	32
27	34
28	40
29	38
30	44
31	42
32	45
33	33
34	54
35	39
36	63
37	48
38	46
39	52
40	56
41	49
42	7
43	98
44	35
45	75
46	55
47	100
48	58
49	60
50	62
51	64
52	66
53	68
54	70
55	72
56	51
57	81
58	57
59	90
60	69
61	99
62	78
63	76
64	74
65	80
66	82
67	84
68	86
69	88
70	92
71	94
72	96
73	104
74	102
75	108
76	87
77	117
78	93
79	126
80	111
81	135
82	114
83	112
84	106
85	116
86	110
87	121
88	11
89	242

[1, 2, 4, 6, 8, 10, 12, 9, 3, 18, 15, 25, 5, 50, 16, 14, 20, 22, 24, 26, 28, 30, 27, 21, 36, 32, 34, 40, 38, 44, 42, 45, 33, 54, 39, 63, 48, 46, 52, 56, 49, 7, 98, 35, 75, 55, 100, 58, 60, 62, 64, 66, 68, 70, 72, 51, 81, 57, 90, 69, 99, 78, 76, 74, 80, 82, 84, 86, 88, 92, 94, 96, 104, 102, 108, 87, 117, 93, 126, 111, 135, 114, 112, 106, 116, 110, 121, 11, 242]

cp's OEIS Frontend

A379248 a(1) = 1, a(2) = 2, for a(n) > 2, a(n) is the smallest unused positive number that shares a factor with a(n-1) while no exponent of each distinct prime factor of a(n) is the same as the exponent of the same prime factor of a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	8
6	10
7	12
8	9
9	3
10	18
11	15
12	25
13	5
14	50
15	16
16	14
17	20
18	22
19	24
20	26
21	28
22	30
23	27
24	21
25	36
26	32
27	34
28	40
29	38
30	44
31	42
32	45
33	33
34	54
35	39
36	63
37	48
38	46
39	52
40	56
41	49
42	7
43	98
44	35
45	75
46	55
47	100
48	58
49	60
50	62
51	64
52	66
53	68
54	70
55	72
56	51
57	81
58	57
59	90
60	69
61	99
62	78
63	76
64	74
65	80
66	82
67	84
68	86
69	88
70	92
71	94
72	96
73	104
74	102
75	108
76	87
77	117
78	93
79	126
80	111
81	135
82	114
83	112
84	106
85	116
86	110
87	121
88	11
89	242

n	a(n)
1	1
2	2
3	4
4	6
5	8
6	10
7	12
8	9
9	3
10	18
11	15
12	25
13	5
14	50
15	16
16	14
17	20
18	22
19	24
20	26
21	28
22	30
23	27
24	21
25	36
26	32
27	34
28	40
29	38
30	44
31	42
32	45
33	33
34	54
35	39
36	63
37	48
38	46
39	52
40	56
41	49
42	7
43	98
44	35
45	75
46	55
47	100
48	58
49	60
50	62
51	64
52	66
53	68
54	70
55	72
56	51
57	81
58	57
59	90
60	69
61	99
62	78
63	76
64	74
65	80
66	82
67	84
68	86
69	88
70	92
71	94
72	96
73	104
74	102
75	108
76	87
77	117
78	93
79	126
80	111
81	135
82	114
83	112
84	106
85	116
86	110
87	121
88	11
89	242

n	a(n)
1	1
2	2
3	4
4	6
5	8
6	10
7	12
8	9
9	3
10	18
11	15
12	25
13	5
14	50
15	16
16	14
17	20
18	22
19	24
20	26
21	28
22	30
23	27
24	21
25	36
26	32
27	34
28	40
29	38
30	44
31	42
32	45
33	33
34	54
35	39
36	63
37	48
38	46
39	52
40	56
41	49
42	7
43	98
44	35
45	75
46	55
47	100
48	58
49	60
50	62
51	64
52	66
53	68
54	70
55	72
56	51
57	81
58	57
59	90
60	69
61	99
62	78
63	76
64	74
65	80
66	82
67	84
68	86
69	88
70	92
71	94
72	96
73	104
74	102
75	108
76	87
77	117
78	93
79	126
80	111
81	135
82	114
83	112
84	106
85	116
86	110
87	121
88	11
89	242