A378821 - cp's OEIS frontend

A378821 Lexicographically earliest sequence of distinct positive integers such that the count of integers between a(n) and a(n-1), excluding values already in the sequence, is distinct from the same count for any other a(k) and a(k-1) at the time they occurred.

n	a(n)
1	1
2	2
3	4
4	7
5	11
6	3
7	10
8	18
9	5
10	16
11	26
12	6
13	22
14	35
15	8
16	27
17	42
18	9
19	32
20	51
21	12
22	37
23	58
24	13
25	41
26	66
27	14
28	47
29	74
30	15
31	53
32	83
33	17
34	57
35	90
36	19
37	62
38	98
39	20
40	68
41	106
42	21
43	73
44	115
45	23
46	78
47	122
48	24
49	84
50	131
51	25
52	88
53	138
54	28
55	94
56	147
57	29
58	99
59	154
60	30
61	103
62	162
63	31
64	109
65	170
66	33

[1, 2, 4, 7, 11, 3, 10, 18, 5, 16, 26, 6, 22, 35, 8, 27, 42, 9, 32, 51, 12, 37, 58, 13, 41, 66, 14, 47, 74, 15, 53, 83, 17, 57, 90, 19, 62, 98, 20, 68, 106, 21, 73, 115, 23, 78, 122, 24, 84, 131, 25, 88, 138, 28, 94, 147, 29, 99, 154, 30, 103, 162, 31, 109, 170, 33]

cp's OEIS Frontend

A378821 Lexicographically earliest sequence of distinct positive integers such that the count of integers between a(n) and a(n-1), excluding values already in the sequence, is distinct from the same count for any other a(k) and a(k-1) at the time they occurred.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	7
5	11
6	3
7	10
8	18
9	5
10	16
11	26
12	6
13	22
14	35
15	8
16	27
17	42
18	9
19	32
20	51
21	12
22	37
23	58
24	13
25	41
26	66
27	14
28	47
29	74
30	15
31	53
32	83
33	17
34	57
35	90
36	19
37	62
38	98
39	20
40	68
41	106
42	21
43	73
44	115
45	23
46	78
47	122
48	24
49	84
50	131
51	25
52	88
53	138
54	28
55	94
56	147
57	29
58	99
59	154
60	30
61	103
62	162
63	31
64	109
65	170
66	33

n	a(n)
1	1
2	2
3	4
4	7
5	11
6	3
7	10
8	18
9	5
10	16
11	26
12	6
13	22
14	35
15	8
16	27
17	42
18	9
19	32
20	51
21	12
22	37
23	58
24	13
25	41
26	66
27	14
28	47
29	74
30	15
31	53
32	83
33	17
34	57
35	90
36	19
37	62
38	98
39	20
40	68
41	106
42	21
43	73
44	115
45	23
46	78
47	122
48	24
49	84
50	131
51	25
52	88
53	138
54	28
55	94
56	147
57	29
58	99
59	154
60	30
61	103
62	162
63	31
64	109
65	170
66	33

n	a(n)
1	1
2	2
3	4
4	7
5	11
6	3
7	10
8	18
9	5
10	16
11	26
12	6
13	22
14	35
15	8
16	27
17	42
18	9
19	32
20	51
21	12
22	37
23	58
24	13
25	41
26	66
27	14
28	47
29	74
30	15
31	53
32	83
33	17
34	57
35	90
36	19
37	62
38	98
39	20
40	68
41	106
42	21
43	73
44	115
45	23
46	78
47	122
48	24
49	84
50	131
51	25
52	88
53	138
54	28
55	94
56	147
57	29
58	99
59	154
60	30
61	103
62	162
63	31
64	109
65	170
66	33