A214249 - cp's OEIS frontend

A214249 Number A(n,k) of compositions of n where differences between neighboring parts are in {-k,...,k} \ {0}; 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	1
10	1
11	1
12	1
13	3
14	1
15	1
16	1
17	1
18	3
19	2
20	1
21	1
22	1
23	1
24	3
25	4
26	4
27	1
28	1
29	1
30	1
31	3
32	4
33	5
34	5
35	1
36	1
37	1
38	1
39	3
40	4
41	7
42	11
43	5
44	1
45	1
46	1
47	1
48	3
49	4
50	7
51	12
52	14
53	7
54	1
55	1
56	1
57	1
58	3
59	4
60	7
61	14
62	20
63	18
64	10
65	1
66	1
67	1
68	1
69	3
70	4
71	7
72	14
73	21
74	30
75	36
76	9
77	1
78	1
79	1
80	1
81	3
82	4
83	7
84	14
85	23
86	36
87	50
88	49
89	14
90	1

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 3, 4, 4, 1, 1, 1, 1, 3, 4, 5, 5, 1, 1, 1, 1, 3, 4, 7, 11, 5, 1, 1, 1, 1, 3, 4, 7, 12, 14, 7, 1, 1, 1, 1, 3, 4, 7, 14, 20, 18, 10, 1, 1, 1, 1, 3, 4, 7, 14, 21, 30, 36, 9, 1, 1, 1, 1, 3, 4, 7, 14, 23, 36, 50, 49, 14, 1]

cp's OEIS Frontend

A214249 Number A(n,k) of compositions of n where differences between neighboring parts are in {-k,...,k} \ {0}; 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	1
10	1
11	1
12	1
13	3
14	1
15	1
16	1
17	1
18	3
19	2
20	1
21	1
22	1
23	1
24	3
25	4
26	4
27	1
28	1
29	1
30	1
31	3
32	4
33	5
34	5
35	1
36	1
37	1
38	1
39	3
40	4
41	7
42	11
43	5
44	1
45	1
46	1
47	1
48	3
49	4
50	7
51	12
52	14
53	7
54	1
55	1
56	1
57	1
58	3
59	4
60	7
61	14
62	20
63	18
64	10
65	1
66	1
67	1
68	1
69	3
70	4
71	7
72	14
73	21
74	30
75	36
76	9
77	1
78	1
79	1
80	1
81	3
82	4
83	7
84	14
85	23
86	36
87	50
88	49
89	14
90	1

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

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