A383789 - cp's OEIS frontend

A383789 a(1) = 1; for n > 1, a(n) is the smallest positive integer not already in the sequence such that it shares at least one digit with a(n-1), and it has a different number of digits from a(n-1).

n	a(n)
1	1
2	10
3	100
4	11
5	101
6	12
7	2
8	20
9	102
10	13
11	3
12	23
13	103
14	14
15	4
16	24
17	104
18	15
19	5
20	25
21	105
22	16
23	6
24	26
25	106
26	17
27	7
28	27
29	107
30	18
31	8
32	28
33	108
34	19
35	9
36	29
37	109
38	21
39	110
40	30
41	113
42	31
43	111
44	41
45	112
46	22
47	120
48	32
49	121
50	42
51	114
52	34
53	123
54	33
55	130
56	35
57	115
58	45
59	124
60	40
61	134
62	36
63	116
64	46
65	126
66	51
67	117
68	37
69	127
70	47
71	137

[1, 10, 100, 11, 101, 12, 2, 20, 102, 13, 3, 23, 103, 14, 4, 24, 104, 15, 5, 25, 105, 16, 6, 26, 106, 17, 7, 27, 107, 18, 8, 28, 108, 19, 9, 29, 109, 21, 110, 30, 113, 31, 111, 41, 112, 22, 120, 32, 121, 42, 114, 34, 123, 33, 130, 35, 115, 45, 124, 40, 134, 36, 116, 46, 126, 51, 117, 37, 127, 47, 137]

cp's OEIS Frontend

A383789 a(1) = 1; for n > 1, a(n) is the smallest positive integer not already in the sequence such that it shares at least one digit with a(n-1), and it has a different number of digits from a(n-1).

Table of values

List of values

n	a(n)
1	1
2	10
3	100
4	11
5	101
6	12
7	2
8	20
9	102
10	13
11	3
12	23
13	103
14	14
15	4
16	24
17	104
18	15
19	5
20	25
21	105
22	16
23	6
24	26
25	106
26	17
27	7
28	27
29	107
30	18
31	8
32	28
33	108
34	19
35	9
36	29
37	109
38	21
39	110
40	30
41	113
42	31
43	111
44	41
45	112
46	22
47	120
48	32
49	121
50	42
51	114
52	34
53	123
54	33
55	130
56	35
57	115
58	45
59	124
60	40
61	134
62	36
63	116
64	46
65	126
66	51
67	117
68	37
69	127
70	47
71	137

n	a(n)
1	1
2	10
3	100
4	11
5	101
6	12
7	2
8	20
9	102
10	13
11	3
12	23
13	103
14	14
15	4
16	24
17	104
18	15
19	5
20	25
21	105
22	16
23	6
24	26
25	106
26	17
27	7
28	27
29	107
30	18
31	8
32	28
33	108
34	19
35	9
36	29
37	109
38	21
39	110
40	30
41	113
42	31
43	111
44	41
45	112
46	22
47	120
48	32
49	121
50	42
51	114
52	34
53	123
54	33
55	130
56	35
57	115
58	45
59	124
60	40
61	134
62	36
63	116
64	46
65	126
66	51
67	117
68	37
69	127
70	47
71	137

n	a(n)
1	1
2	10
3	100
4	11
5	101
6	12
7	2
8	20
9	102
10	13
11	3
12	23
13	103
14	14
15	4
16	24
17	104
18	15
19	5
20	25
21	105
22	16
23	6
24	26
25	106
26	17
27	7
28	27
29	107
30	18
31	8
32	28
33	108
34	19
35	9
36	29
37	109
38	21
39	110
40	30
41	113
42	31
43	111
44	41
45	112
46	22
47	120
48	32
49	121
50	42
51	114
52	34
53	123
54	33
55	130
56	35
57	115
58	45
59	124
60	40
61	134
62	36
63	116
64	46
65	126
66	51
67	117
68	37
69	127
70	47
71	137