A282443 - cp's OEIS frontend

A282443 a(n) is the largest step size that is taken on a staircase of n steps when following the following procedure: Take steps of length 1 up a staircase until you can't step any further, then take steps of length 2 down until you can't step any further, and so on.

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	4
7	4
8	8
9	8
10	7
11	9
12	10
13	10
14	14
15	14
16	10
17	11
18	17
19	18
20	15
21	19
22	16
23	14
24	23
25	24
26	17
27	19
28	27
29	18
30	23
31	25
32	20
33	20
34	30
35	30
36	19
37	27
38	24
39	20
40	31
41	39
42	32
43	30
44	38
45	38
46	24
47	24
48	34
49	34
50	50
51	46
52	31
53	39
54	53
55	54
56	47
57	49
58	40
59	38
60	59
61	58
62	57
63	62
64	58
65	48
66	49
67	57
68	39

[1, 2, 2, 3, 5, 4, 4, 8, 8, 7, 9, 10, 10, 14, 14, 10, 11, 17, 18, 15, 19, 16, 14, 23, 24, 17, 19, 27, 18, 23, 25, 20, 20, 30, 30, 19, 27, 24, 20, 31, 39, 32, 30, 38, 38, 24, 24, 34, 34, 50, 46, 31, 39, 53, 54, 47, 49, 40, 38, 59, 58, 57, 62, 58, 48, 49, 57, 39]

cp's OEIS Frontend

A282443 a(n) is the largest step size that is taken on a staircase of n steps when following the following procedure: Take steps of length 1 up a staircase until you can't step any further, then take steps of length 2 down until you can't step any further, and so on.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	4
7	4
8	8
9	8
10	7
11	9
12	10
13	10
14	14
15	14
16	10
17	11
18	17
19	18
20	15
21	19
22	16
23	14
24	23
25	24
26	17
27	19
28	27
29	18
30	23
31	25
32	20
33	20
34	30
35	30
36	19
37	27
38	24
39	20
40	31
41	39
42	32
43	30
44	38
45	38
46	24
47	24
48	34
49	34
50	50
51	46
52	31
53	39
54	53
55	54
56	47
57	49
58	40
59	38
60	59
61	58
62	57
63	62
64	58
65	48
66	49
67	57
68	39

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	4
7	4
8	8
9	8
10	7
11	9
12	10
13	10
14	14
15	14
16	10
17	11
18	17
19	18
20	15
21	19
22	16
23	14
24	23
25	24
26	17
27	19
28	27
29	18
30	23
31	25
32	20
33	20
34	30
35	30
36	19
37	27
38	24
39	20
40	31
41	39
42	32
43	30
44	38
45	38
46	24
47	24
48	34
49	34
50	50
51	46
52	31
53	39
54	53
55	54
56	47
57	49
58	40
59	38
60	59
61	58
62	57
63	62
64	58
65	48
66	49
67	57
68	39

n	a(n)
1	1
2	2
3	2
4	3
5	5
6	4
7	4
8	8
9	8
10	7
11	9
12	10
13	10
14	14
15	14
16	10
17	11
18	17
19	18
20	15
21	19
22	16
23	14
24	23
25	24
26	17
27	19
28	27
29	18
30	23
31	25
32	20
33	20
34	30
35	30
36	19
37	27
38	24
39	20
40	31
41	39
42	32
43	30
44	38
45	38
46	24
47	24
48	34
49	34
50	50
51	46
52	31
53	39
54	53
55	54
56	47
57	49
58	40
59	38
60	59
61	58
62	57
63	62
64	58
65	48
66	49
67	57
68	39