A343927 - cp's OEIS frontend

A343927 a(1) = 1, a(2) = 2; for n>2, a(n) is the smallest positive integer not yet in the sequence which shares a digit with a(n-1) but not with a(n-2), and where a(n) contains at least one digit not in a(n-1).

n	a(n)
1	1
2	2
3	20
4	10
5	13
6	23
7	24
8	14
9	15
10	25
11	26
12	16
13	17
14	27
15	28
16	18
17	19
18	29
19	32
20	30
21	40
22	41
23	12
24	52
25	35
26	31
27	21
28	42
29	34
30	36
31	56
32	45
33	43
34	37
35	57
36	50
37	60
38	46
39	47
40	70
41	80
42	38
43	39
44	49
45	48
46	58
47	51
48	61
49	62
50	72
51	71
52	81
53	68
54	63
55	53
56	54
57	64
58	67
59	73
60	83
61	82
62	92
63	59
64	65
65	76
66	74
67	84
68	85
69	75
70	79
71	69
72	86
73	78
74	97
75	90

[1, 2, 20, 10, 13, 23, 24, 14, 15, 25, 26, 16, 17, 27, 28, 18, 19, 29, 32, 30, 40, 41, 12, 52, 35, 31, 21, 42, 34, 36, 56, 45, 43, 37, 57, 50, 60, 46, 47, 70, 80, 38, 39, 49, 48, 58, 51, 61, 62, 72, 71, 81, 68, 63, 53, 54, 64, 67, 73, 83, 82, 92, 59, 65, 76, 74, 84, 85, 75, 79, 69, 86, 78, 97, 90]

cp's OEIS Frontend

A343927 a(1) = 1, a(2) = 2; for n>2, a(n) is the smallest positive integer not yet in the sequence which shares a digit with a(n-1) but not with a(n-2), and where a(n) contains at least one digit not in a(n-1).

Table of values

List of values

n	a(n)
1	1
2	2
3	20
4	10
5	13
6	23
7	24
8	14
9	15
10	25
11	26
12	16
13	17
14	27
15	28
16	18
17	19
18	29
19	32
20	30
21	40
22	41
23	12
24	52
25	35
26	31
27	21
28	42
29	34
30	36
31	56
32	45
33	43
34	37
35	57
36	50
37	60
38	46
39	47
40	70
41	80
42	38
43	39
44	49
45	48
46	58
47	51
48	61
49	62
50	72
51	71
52	81
53	68
54	63
55	53
56	54
57	64
58	67
59	73
60	83
61	82
62	92
63	59
64	65
65	76
66	74
67	84
68	85
69	75
70	79
71	69
72	86
73	78
74	97
75	90

n	a(n)
1	1
2	2
3	20
4	10
5	13
6	23
7	24
8	14
9	15
10	25
11	26
12	16
13	17
14	27
15	28
16	18
17	19
18	29
19	32
20	30
21	40
22	41
23	12
24	52
25	35
26	31
27	21
28	42
29	34
30	36
31	56
32	45
33	43
34	37
35	57
36	50
37	60
38	46
39	47
40	70
41	80
42	38
43	39
44	49
45	48
46	58
47	51
48	61
49	62
50	72
51	71
52	81
53	68
54	63
55	53
56	54
57	64
58	67
59	73
60	83
61	82
62	92
63	59
64	65
65	76
66	74
67	84
68	85
69	75
70	79
71	69
72	86
73	78
74	97
75	90

n	a(n)
1	1
2	2
3	20
4	10
5	13
6	23
7	24
8	14
9	15
10	25
11	26
12	16
13	17
14	27
15	28
16	18
17	19
18	29
19	32
20	30
21	40
22	41
23	12
24	52
25	35
26	31
27	21
28	42
29	34
30	36
31	56
32	45
33	43
34	37
35	57
36	50
37	60
38	46
39	47
40	70
41	80
42	38
43	39
44	49
45	48
46	58
47	51
48	61
49	62
50	72
51	71
52	81
53	68
54	63
55	53
56	54
57	64
58	67
59	73
60	83
61	82
62	92
63	59
64	65
65	76
66	74
67	84
68	85
69	75
70	79
71	69
72	86
73	78
74	97
75	90