A370929 - cp's OEIS frontend

A370929 Number of compositions of n with parts (p_1, ..., p_i) such that the set of adjacent differences is a subset of {-k,k} for some k > 0 and the number of parts equals ceiling(p_1/k).

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	3
8	5
9	5
10	7
11	5
12	9
13	7
14	7
15	10
16	11
17	9
18	13
19	9
20	13
21	17
22	11
23	14
24	19
25	15
26	13
27	20
28	19
29	18
30	23
31	19
32	20
33	26
34	21
35	20
36	32
37	22
38	25
39	27
40	33
41	25
42	37
43	21
44	34
45	36
46	35
47	24
48	50
49	26
50	40
51	37
52	44
53	32
54	51
55	31
56	48
57	46
58	49
59	34
60	65
61	40
62	45
63	54
64	56
65	48
66	63
67	42
68	58

[1, 1, 1, 2, 2, 3, 4, 3, 5, 5, 7, 5, 9, 7, 7, 10, 11, 9, 13, 9, 13, 17, 11, 14, 19, 15, 13, 20, 19, 18, 23, 19, 20, 26, 21, 20, 32, 22, 25, 27, 33, 25, 37, 21, 34, 36, 35, 24, 50, 26, 40, 37, 44, 32, 51, 31, 48, 46, 49, 34, 65, 40, 45, 54, 56, 48, 63, 42, 58]

cp's OEIS Frontend

A370929 Number of compositions of n with parts (p_1, ..., p_i) such that the set of adjacent differences is a subset of {-k,k} for some k > 0 and the number of parts equals ceiling(p_1/k).

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	3
8	5
9	5
10	7
11	5
12	9
13	7
14	7
15	10
16	11
17	9
18	13
19	9
20	13
21	17
22	11
23	14
24	19
25	15
26	13
27	20
28	19
29	18
30	23
31	19
32	20
33	26
34	21
35	20
36	32
37	22
38	25
39	27
40	33
41	25
42	37
43	21
44	34
45	36
46	35
47	24
48	50
49	26
50	40
51	37
52	44
53	32
54	51
55	31
56	48
57	46
58	49
59	34
60	65
61	40
62	45
63	54
64	56
65	48
66	63
67	42
68	58

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	3
8	5
9	5
10	7
11	5
12	9
13	7
14	7
15	10
16	11
17	9
18	13
19	9
20	13
21	17
22	11
23	14
24	19
25	15
26	13
27	20
28	19
29	18
30	23
31	19
32	20
33	26
34	21
35	20
36	32
37	22
38	25
39	27
40	33
41	25
42	37
43	21
44	34
45	36
46	35
47	24
48	50
49	26
50	40
51	37
52	44
53	32
54	51
55	31
56	48
57	46
58	49
59	34
60	65
61	40
62	45
63	54
64	56
65	48
66	63
67	42
68	58

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	4
7	3
8	5
9	5
10	7
11	5
12	9
13	7
14	7
15	10
16	11
17	9
18	13
19	9
20	13
21	17
22	11
23	14
24	19
25	15
26	13
27	20
28	19
29	18
30	23
31	19
32	20
33	26
34	21
35	20
36	32
37	22
38	25
39	27
40	33
41	25
42	37
43	21
44	34
45	36
46	35
47	24
48	50
49	26
50	40
51	37
52	44
53	32
54	51
55	31
56	48
57	46
58	49
59	34
60	65
61	40
62	45
63	54
64	56
65	48
66	63
67	42
68	58