A243081 - cp's OEIS frontend

A243081 Number A(n,k) of compositions of n into parts with multiplicity not larger than k; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	3
14	0
15	1
16	1
17	2
18	3
19	3
20	0
21	1
22	1
23	2
24	4
25	7
26	5
27	0
28	1
29	1
30	2
31	4
32	7
33	11
34	11
35	0
36	1
37	1
38	2
39	4
40	8
41	15
42	21
43	13
44	0
45	1
46	1
47	2
48	4
49	8
50	15
51	26
52	34
53	19
54	0
55	1
56	1
57	2
58	4
59	8
60	16
61	31
62	52
63	59
64	27
65	0
66	1
67	1
68	2
69	4
70	8
71	16
72	31
73	57
74	93
75	114
76	57
77	0
78	1
79	1
80	2
81	4
82	8
83	16
84	32
85	63
86	114
87	173
88	178
89	65
90	0

[1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 3, 0, 1, 1, 2, 3, 3, 0, 1, 1, 2, 4, 7, 5, 0, 1, 1, 2, 4, 7, 11, 11, 0, 1, 1, 2, 4, 8, 15, 21, 13, 0, 1, 1, 2, 4, 8, 15, 26, 34, 19, 0, 1, 1, 2, 4, 8, 16, 31, 52, 59, 27, 0, 1, 1, 2, 4, 8, 16, 31, 57, 93, 114, 57, 0, 1, 1, 2, 4, 8, 16, 32, 63, 114, 173, 178, 65, 0]

cp's OEIS Frontend

A243081 Number A(n,k) of compositions of n into parts with multiplicity not larger than 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	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	3
14	0
15	1
16	1
17	2
18	3
19	3
20	0
21	1
22	1
23	2
24	4
25	7
26	5
27	0
28	1
29	1
30	2
31	4
32	7
33	11
34	11
35	0
36	1
37	1
38	2
39	4
40	8
41	15
42	21
43	13
44	0
45	1
46	1
47	2
48	4
49	8
50	15
51	26
52	34
53	19
54	0
55	1
56	1
57	2
58	4
59	8
60	16
61	31
62	52
63	59
64	27
65	0
66	1
67	1
68	2
69	4
70	8
71	16
72	31
73	57
74	93
75	114
76	57
77	0
78	1
79	1
80	2
81	4
82	8
83	16
84	32
85	63
86	114
87	173
88	178
89	65
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	3
14	0
15	1
16	1
17	2
18	3
19	3
20	0
21	1
22	1
23	2
24	4
25	7
26	5
27	0
28	1
29	1
30	2
31	4
32	7
33	11
34	11
35	0
36	1
37	1
38	2
39	4
40	8
41	15
42	21
43	13
44	0
45	1
46	1
47	2
48	4
49	8
50	15
51	26
52	34
53	19
54	0
55	1
56	1
57	2
58	4
59	8
60	16
61	31
62	52
63	59
64	27
65	0
66	1
67	1
68	2
69	4
70	8
71	16
72	31
73	57
74	93
75	114
76	57
77	0
78	1
79	1
80	2
81	4
82	8
83	16
84	32
85	63
86	114
87	173
88	178
89	65
90	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	3
14	0
15	1
16	1
17	2
18	3
19	3
20	0
21	1
22	1
23	2
24	4
25	7
26	5
27	0
28	1
29	1
30	2
31	4
32	7
33	11
34	11
35	0
36	1
37	1
38	2
39	4
40	8
41	15
42	21
43	13
44	0
45	1
46	1
47	2
48	4
49	8
50	15
51	26
52	34
53	19
54	0
55	1
56	1
57	2
58	4
59	8
60	16
61	31
62	52
63	59
64	27
65	0
66	1
67	1
68	2
69	4
70	8
71	16
72	31
73	57
74	93
75	114
76	57
77	0
78	1
79	1
80	2
81	4
82	8
83	16
84	32
85	63
86	114
87	173
88	178
89	65
90	0