A282442 - cp's OEIS frontend

A282442 a(n) is the smallest step size that does not occur 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	2
2	3
3	3
4	4
5	6
6	5
7	5
8	9
9	9
10	8
11	10
12	11
13	11
14	15
15	15
16	11
17	12
18	18
19	19
20	16
21	20
22	17
23	15
24	24
25	25
26	18
27	20
28	28
29	19
30	24
31	26
32	21
33	21
34	31
35	31
36	20
37	28
38	25
39	21
40	32
41	40
42	33
43	31
44	39
45	39
46	25
47	25
48	35
49	35
50	51
51	47
52	32
53	40
54	54
55	55
56	48
57	50
58	41
59	39
60	60
61	59
62	58
63	63
64	59
65	49
66	50
67	58

[2, 3, 3, 4, 6, 5, 5, 9, 9, 8, 10, 11, 11, 15, 15, 11, 12, 18, 19, 16, 20, 17, 15, 24, 25, 18, 20, 28, 19, 24, 26, 21, 21, 31, 31, 20, 28, 25, 21, 32, 40, 33, 31, 39, 39, 25, 25, 35, 35, 51, 47, 32, 40, 54, 55, 48, 50, 41, 39, 60, 59, 58, 63, 59, 49, 50, 58]

cp's OEIS Frontend

A282442 a(n) is the smallest step size that does not occur 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	2
2	3
3	3
4	4
5	6
6	5
7	5
8	9
9	9
10	8
11	10
12	11
13	11
14	15
15	15
16	11
17	12
18	18
19	19
20	16
21	20
22	17
23	15
24	24
25	25
26	18
27	20
28	28
29	19
30	24
31	26
32	21
33	21
34	31
35	31
36	20
37	28
38	25
39	21
40	32
41	40
42	33
43	31
44	39
45	39
46	25
47	25
48	35
49	35
50	51
51	47
52	32
53	40
54	54
55	55
56	48
57	50
58	41
59	39
60	60
61	59
62	58
63	63
64	59
65	49
66	50
67	58

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

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