A239550 - cp's OEIS frontend

A239550 Number A(n,k) of compositions of n such that the first part is 1 and the second differences of the parts are in {-k,...,k}; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	1
13	2
14	2
15	1
16	1
17	1
18	2
19	3
20	2
21	1
22	1
23	1
24	2
25	4
26	4
27	3
28	1
29	1
30	1
31	2
32	4
33	7
34	6
35	2
36	1
37	1
38	1
39	2
40	4
41	7
42	11
43	9
44	2
45	1
46	1
47	1
48	2
49	4
50	8
51	13
52	18
53	13
54	3
55	1
56	1
57	1
58	2
59	4
60	8
61	15
62	23
63	32
64	18
65	3
66	1
67	1
68	1
69	2
70	4
71	8
72	15
73	28
74	40
75	53
76	24
77	2
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	29
86	52
87	73
88	89
89	34
90	3

[1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 2, 1, 1, 1, 2, 4, 4, 3, 1, 1, 1, 2, 4, 7, 6, 2, 1, 1, 1, 2, 4, 7, 11, 9, 2, 1, 1, 1, 2, 4, 8, 13, 18, 13, 3, 1, 1, 1, 2, 4, 8, 15, 23, 32, 18, 3, 1, 1, 1, 2, 4, 8, 15, 28, 40, 53, 24, 2, 1, 1, 1, 2, 4, 8, 16, 29, 52, 73, 89, 34, 3]

cp's OEIS Frontend

A239550 Number A(n,k) of compositions of n such that the first part is 1 and the second differences of the parts are in {-k,...,k}; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	1
13	2
14	2
15	1
16	1
17	1
18	2
19	3
20	2
21	1
22	1
23	1
24	2
25	4
26	4
27	3
28	1
29	1
30	1
31	2
32	4
33	7
34	6
35	2
36	1
37	1
38	1
39	2
40	4
41	7
42	11
43	9
44	2
45	1
46	1
47	1
48	2
49	4
50	8
51	13
52	18
53	13
54	3
55	1
56	1
57	1
58	2
59	4
60	8
61	15
62	23
63	32
64	18
65	3
66	1
67	1
68	1
69	2
70	4
71	8
72	15
73	28
74	40
75	53
76	24
77	2
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	29
86	52
87	73
88	89
89	34
90	3

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	1
13	2
14	2
15	1
16	1
17	1
18	2
19	3
20	2
21	1
22	1
23	1
24	2
25	4
26	4
27	3
28	1
29	1
30	1
31	2
32	4
33	7
34	6
35	2
36	1
37	1
38	1
39	2
40	4
41	7
42	11
43	9
44	2
45	1
46	1
47	1
48	2
49	4
50	8
51	13
52	18
53	13
54	3
55	1
56	1
57	1
58	2
59	4
60	8
61	15
62	23
63	32
64	18
65	3
66	1
67	1
68	1
69	2
70	4
71	8
72	15
73	28
74	40
75	53
76	24
77	2
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	29
86	52
87	73
88	89
89	34
90	3

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	1
13	2
14	2
15	1
16	1
17	1
18	2
19	3
20	2
21	1
22	1
23	1
24	2
25	4
26	4
27	3
28	1
29	1
30	1
31	2
32	4
33	7
34	6
35	2
36	1
37	1
38	1
39	2
40	4
41	7
42	11
43	9
44	2
45	1
46	1
47	1
48	2
49	4
50	8
51	13
52	18
53	13
54	3
55	1
56	1
57	1
58	2
59	4
60	8
61	15
62	23
63	32
64	18
65	3
66	1
67	1
68	1
69	2
70	4
71	8
72	15
73	28
74	40
75	53
76	24
77	2
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	29
86	52
87	73
88	89
89	34
90	3