A093848 - cp's OEIS frontend

A093848 (a(n)) is the earliest monotonic sequence starting with a(1)=1 and satisfying a(n)=length of n-th run of consecutive integers with same parity.

n	a(n)
1	1
2	2
3	4
4	5
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	20
13	21
14	23
15	25
16	27
17	29
18	31
19	33
20	34
21	36
22	38
23	40
24	42
25	44
26	46
27	48
28	50
29	51
30	53
31	55
32	57
33	59
34	61
35	63
36	65
37	67
38	69
39	71
40	72
41	74
42	76
43	78
44	80
45	82
46	84
47	86
48	88
49	90
50	92
51	94
52	95
53	97
54	99
55	101
56	103
57	105
58	107
59	109
60	111
61	113
62	115
63	117
64	119
65	121
66	122
67	124

[1, 2, 4, 5, 7, 9, 11, 12, 14, 16, 18, 20, 21, 23, 25, 27, 29, 31, 33, 34, 36, 38, 40, 42, 44, 46, 48, 50, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 122, 124]

cp's OEIS Frontend

A093848 (a(n)) is the earliest monotonic sequence starting with a(1)=1 and satisfying a(n)=length of n-th run of consecutive integers with same parity.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	5
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	20
13	21
14	23
15	25
16	27
17	29
18	31
19	33
20	34
21	36
22	38
23	40
24	42
25	44
26	46
27	48
28	50
29	51
30	53
31	55
32	57
33	59
34	61
35	63
36	65
37	67
38	69
39	71
40	72
41	74
42	76
43	78
44	80
45	82
46	84
47	86
48	88
49	90
50	92
51	94
52	95
53	97
54	99
55	101
56	103
57	105
58	107
59	109
60	111
61	113
62	115
63	117
64	119
65	121
66	122
67	124

n	a(n)
1	1
2	2
3	4
4	5
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	20
13	21
14	23
15	25
16	27
17	29
18	31
19	33
20	34
21	36
22	38
23	40
24	42
25	44
26	46
27	48
28	50
29	51
30	53
31	55
32	57
33	59
34	61
35	63
36	65
37	67
38	69
39	71
40	72
41	74
42	76
43	78
44	80
45	82
46	84
47	86
48	88
49	90
50	92
51	94
52	95
53	97
54	99
55	101
56	103
57	105
58	107
59	109
60	111
61	113
62	115
63	117
64	119
65	121
66	122
67	124

n	a(n)
1	1
2	2
3	4
4	5
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	20
13	21
14	23
15	25
16	27
17	29
18	31
19	33
20	34
21	36
22	38
23	40
24	42
25	44
26	46
27	48
28	50
29	51
30	53
31	55
32	57
33	59
34	61
35	63
36	65
37	67
38	69
39	71
40	72
41	74
42	76
43	78
44	80
45	82
46	84
47	86
48	88
49	90
50	92
51	94
52	95
53	97
54	99
55	101
56	103
57	105
58	107
59	109
60	111
61	113
62	115
63	117
64	119
65	121
66	122
67	124