A342755 - cp's OEIS frontend

A342755 a(1) = 2; for n > 1, a(n) is the least positive integer not occurring earlier such that a(n) shares no digit with a(n-1) and a(n-1)*a(n) shares no digit with either a(n-1) or a(n).

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	42
10	15
11	22
12	14
13	55
14	12
15	37
16	16
17	25
18	36
19	29
20	47
21	23
22	46
23	13
24	44
25	18
26	32
27	17
28	38
29	19
30	33
31	26
32	35
33	174
34	53
35	76
36	59
37	34
38	27
39	43
40	67
41	49
42	62
43	87
44	106
45	493
46	57
47	24
48	75
49	48
50	65
51	122
52	39
53	54
54	72
55	88
56	45
57	66
58	73
59	56
60	77
61	52
62	79
63	84
64	63
65	78
66	123
67	69
68	58
69	64
70	92
71	74
72	68
73	114
74	85
75	314

[2, 3, 4, 5, 6, 7, 8, 9, 42, 15, 22, 14, 55, 12, 37, 16, 25, 36, 29, 47, 23, 46, 13, 44, 18, 32, 17, 38, 19, 33, 26, 35, 174, 53, 76, 59, 34, 27, 43, 67, 49, 62, 87, 106, 493, 57, 24, 75, 48, 65, 122, 39, 54, 72, 88, 45, 66, 73, 56, 77, 52, 79, 84, 63, 78, 123, 69, 58, 64, 92, 74, 68, 114, 85, 314]

cp's OEIS Frontend

A342755 a(1) = 2; for n > 1, a(n) is the least positive integer not occurring earlier such that a(n) shares no digit with a(n-1) and a(n-1)*a(n) shares no digit with either a(n-1) or a(n).

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	42
10	15
11	22
12	14
13	55
14	12
15	37
16	16
17	25
18	36
19	29
20	47
21	23
22	46
23	13
24	44
25	18
26	32
27	17
28	38
29	19
30	33
31	26
32	35
33	174
34	53
35	76
36	59
37	34
38	27
39	43
40	67
41	49
42	62
43	87
44	106
45	493
46	57
47	24
48	75
49	48
50	65
51	122
52	39
53	54
54	72
55	88
56	45
57	66
58	73
59	56
60	77
61	52
62	79
63	84
64	63
65	78
66	123
67	69
68	58
69	64
70	92
71	74
72	68
73	114
74	85
75	314

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	42
10	15
11	22
12	14
13	55
14	12
15	37
16	16
17	25
18	36
19	29
20	47
21	23
22	46
23	13
24	44
25	18
26	32
27	17
28	38
29	19
30	33
31	26
32	35
33	174
34	53
35	76
36	59
37	34
38	27
39	43
40	67
41	49
42	62
43	87
44	106
45	493
46	57
47	24
48	75
49	48
50	65
51	122
52	39
53	54
54	72
55	88
56	45
57	66
58	73
59	56
60	77
61	52
62	79
63	84
64	63
65	78
66	123
67	69
68	58
69	64
70	92
71	74
72	68
73	114
74	85
75	314

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	42
10	15
11	22
12	14
13	55
14	12
15	37
16	16
17	25
18	36
19	29
20	47
21	23
22	46
23	13
24	44
25	18
26	32
27	17
28	38
29	19
30	33
31	26
32	35
33	174
34	53
35	76
36	59
37	34
38	27
39	43
40	67
41	49
42	62
43	87
44	106
45	493
46	57
47	24
48	75
49	48
50	65
51	122
52	39
53	54
54	72
55	88
56	45
57	66
58	73
59	56
60	77
61	52
62	79
63	84
64	63
65	78
66	123
67	69
68	58
69	64
70	92
71	74
72	68
73	114
74	85
75	314