A360744 - cp's OEIS frontend

A360744 a(n) is the maximum number of locations 1..n-1 which can be reached starting from some location s, where jumps from location i to i +- a(i) are permitted (within 1..n-1); a(1)=1. See example.

n	a(n)
1	1
2	1
3	2
4	3
5	4
6	5
7	5
8	6
9	6
10	7
11	7
12	9
13	10
14	10
15	10
16	11
17	11
18	13
19	14
20	14
21	14
22	15
23	15
24	15
25	15
26	21
27	21
28	21
29	22
30	22
31	22
32	23
33	23
34	23
35	23
36	24
37	24
38	26
39	27
40	28
41	29
42	29
43	29
44	29
45	29
46	29
47	29
48	29
49	29
50	32
51	32
52	32
53	32
54	33
55	33
56	35
57	35
58	41
59	42
60	42
61	42
62	43
63	43
64	43
65	44
66	44
67	45
68	45
69	46
70	46
71	46
72	46
73	46
74	46
75	47
76	47
77	49
78	49
79	51
80	51
81	51

[1, 1, 2, 3, 4, 5, 5, 6, 6, 7, 7, 9, 10, 10, 10, 11, 11, 13, 14, 14, 14, 15, 15, 15, 15, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 24, 24, 26, 27, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 32, 32, 32, 32, 33, 33, 35, 35, 41, 42, 42, 42, 43, 43, 43, 44, 44, 45, 45, 46, 46, 46, 46, 46, 46, 47, 47, 49, 49, 51, 51, 51]

cp's OEIS Frontend

A360744 a(n) is the maximum number of locations 1..n-1 which can be reached starting from some location s, where jumps from location i to i +- a(i) are permitted (within 1..n-1); a(1)=1. See example.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	3
5	4
6	5
7	5
8	6
9	6
10	7
11	7
12	9
13	10
14	10
15	10
16	11
17	11
18	13
19	14
20	14
21	14
22	15
23	15
24	15
25	15
26	21
27	21
28	21
29	22
30	22
31	22
32	23
33	23
34	23
35	23
36	24
37	24
38	26
39	27
40	28
41	29
42	29
43	29
44	29
45	29
46	29
47	29
48	29
49	29
50	32
51	32
52	32
53	32
54	33
55	33
56	35
57	35
58	41
59	42
60	42
61	42
62	43
63	43
64	43
65	44
66	44
67	45
68	45
69	46
70	46
71	46
72	46
73	46
74	46
75	47
76	47
77	49
78	49
79	51
80	51
81	51

n	a(n)
1	1
2	1
3	2
4	3
5	4
6	5
7	5
8	6
9	6
10	7
11	7
12	9
13	10
14	10
15	10
16	11
17	11
18	13
19	14
20	14
21	14
22	15
23	15
24	15
25	15
26	21
27	21
28	21
29	22
30	22
31	22
32	23
33	23
34	23
35	23
36	24
37	24
38	26
39	27
40	28
41	29
42	29
43	29
44	29
45	29
46	29
47	29
48	29
49	29
50	32
51	32
52	32
53	32
54	33
55	33
56	35
57	35
58	41
59	42
60	42
61	42
62	43
63	43
64	43
65	44
66	44
67	45
68	45
69	46
70	46
71	46
72	46
73	46
74	46
75	47
76	47
77	49
78	49
79	51
80	51
81	51

n	a(n)
1	1
2	1
3	2
4	3
5	4
6	5
7	5
8	6
9	6
10	7
11	7
12	9
13	10
14	10
15	10
16	11
17	11
18	13
19	14
20	14
21	14
22	15
23	15
24	15
25	15
26	21
27	21
28	21
29	22
30	22
31	22
32	23
33	23
34	23
35	23
36	24
37	24
38	26
39	27
40	28
41	29
42	29
43	29
44	29
45	29
46	29
47	29
48	29
49	29
50	32
51	32
52	32
53	32
54	33
55	33
56	35
57	35
58	41
59	42
60	42
61	42
62	43
63	43
64	43
65	44
66	44
67	45
68	45
69	46
70	46
71	46
72	46
73	46
74	46
75	47
76	47
77	49
78	49
79	51
80	51
81	51