A177922 - cp's OEIS frontend

A177922 For each composition (ordered partition) of n, remove the first part z(1) and add 1 to the next z(1) parts to get a new composition until a partition is repeated. Among all compositions of n, a(n) gives the maximum of steps needed to reach a period.

n	a(n)
1	0
2	2
3	3
4	5
5	7
6	9
7	9
8	11
9	16
10	18
11	18
12	18
13	22
14	28
15	30
16	30
17	25
18	29
19	36
20	43
21	45
22	45
23	39
24	39
25	45
26	53
27	61
28	63
29	63
30	56
31	49
32	55
33	64
34	73
35	82
36	84
37	84
38	76
39	68
40	68
41	76
42	86
43	96
44	106
45	108
46	99
47	90
48	81
49	89
50	100
51	111
52	122
53	133
54	135
55	135
56	125
57	115
58	105
59	105
60	115
61	127
62	139

[0, 2, 3, 5, 7, 9, 9, 11, 16, 18, 18, 18, 22, 28, 30, 30, 25, 29, 36, 43, 45, 45, 39, 39, 45, 53, 61, 63, 63, 56, 49, 55, 64, 73, 82, 84, 84, 76, 68, 68, 76, 86, 96, 106, 108, 99, 90, 81, 89, 100, 111, 122, 133, 135, 135, 125, 115, 105, 105, 115, 127, 139]

cp's OEIS Frontend

A177922 For each composition (ordered partition) of n, remove the first part z(1) and add 1 to the next z(1) parts to get a new composition until a partition is repeated. Among all compositions of n, a(n) gives the maximum of steps needed to reach a period.

Table of values

List of values

n	a(n)
1	0
2	2
3	3
4	5
5	7
6	9
7	9
8	11
9	16
10	18
11	18
12	18
13	22
14	28
15	30
16	30
17	25
18	29
19	36
20	43
21	45
22	45
23	39
24	39
25	45
26	53
27	61
28	63
29	63
30	56
31	49
32	55
33	64
34	73
35	82
36	84
37	84
38	76
39	68
40	68
41	76
42	86
43	96
44	106
45	108
46	99
47	90
48	81
49	89
50	100
51	111
52	122
53	133
54	135
55	135
56	125
57	115
58	105
59	105
60	115
61	127
62	139

n	a(n)
1	0
2	2
3	3
4	5
5	7
6	9
7	9
8	11
9	16
10	18
11	18
12	18
13	22
14	28
15	30
16	30
17	25
18	29
19	36
20	43
21	45
22	45
23	39
24	39
25	45
26	53
27	61
28	63
29	63
30	56
31	49
32	55
33	64
34	73
35	82
36	84
37	84
38	76
39	68
40	68
41	76
42	86
43	96
44	106
45	108
46	99
47	90
48	81
49	89
50	100
51	111
52	122
53	133
54	135
55	135
56	125
57	115
58	105
59	105
60	115
61	127
62	139

n	a(n)
1	0
2	2
3	3
4	5
5	7
6	9
7	9
8	11
9	16
10	18
11	18
12	18
13	22
14	28
15	30
16	30
17	25
18	29
19	36
20	43
21	45
22	45
23	39
24	39
25	45
26	53
27	61
28	63
29	63
30	56
31	49
32	55
33	64
34	73
35	82
36	84
37	84
38	76
39	68
40	68
41	76
42	86
43	96
44	106
45	108
46	99
47	90
48	81
49	89
50	100
51	111
52	122
53	133
54	135
55	135
56	125
57	115
58	105
59	105
60	115
61	127
62	139