A144406 - cp's OEIS frontend

A144406 Rectangular array A read by upward antidiagonals: entry A(n,k) in row n and column k gives the number of compositions of k in which no part exceeds n, n>=1, k>=0.

n	a(n)
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	3
15	1
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	1
24	2
25	4
26	7
27	8
28	1
29	1
30	1
31	2
32	4
33	8
34	13
35	13
36	1
37	1
38	1
39	2
40	4
41	8
42	15
43	24
44	21
45	1
46	1
47	1
48	2
49	4
50	8
51	16
52	29
53	44
54	34
55	1
56	1
57	1
58	2
59	4
60	8
61	16
62	31
63	56
64	81
65	55
66	1
67	1
68	1
69	2
70	4
71	8
72	16
73	32
74	61
75	108
76	149
77	89
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	32
86	63
87	120
88	208
89	274
90	144
91	1

[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 5, 1, 1, 1, 2, 4, 7, 8, 1, 1, 1, 2, 4, 8, 13, 13, 1, 1, 1, 2, 4, 8, 15, 24, 21, 1, 1, 1, 2, 4, 8, 16, 29, 44, 34, 1, 1, 1, 2, 4, 8, 16, 31, 56, 81, 55, 1, 1, 1, 2, 4, 8, 16, 32, 61, 108, 149, 89, 1, 1, 1, 2, 4, 8, 16, 32, 63, 120, 208, 274, 144, 1]

cp's OEIS Frontend

A144406 Rectangular array A read by upward antidiagonals: entry A(n,k) in row n and column k gives the number of compositions of k in which no part exceeds n, n>=1, k>=0.

Table of values

List of values

n	a(n)
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	3
15	1
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	1
24	2
25	4
26	7
27	8
28	1
29	1
30	1
31	2
32	4
33	8
34	13
35	13
36	1
37	1
38	1
39	2
40	4
41	8
42	15
43	24
44	21
45	1
46	1
47	1
48	2
49	4
50	8
51	16
52	29
53	44
54	34
55	1
56	1
57	1
58	2
59	4
60	8
61	16
62	31
63	56
64	81
65	55
66	1
67	1
68	1
69	2
70	4
71	8
72	16
73	32
74	61
75	108
76	149
77	89
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	32
86	63
87	120
88	208
89	274
90	144
91	1

n	a(n)
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	3
15	1
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	1
24	2
25	4
26	7
27	8
28	1
29	1
30	1
31	2
32	4
33	8
34	13
35	13
36	1
37	1
38	1
39	2
40	4
41	8
42	15
43	24
44	21
45	1
46	1
47	1
48	2
49	4
50	8
51	16
52	29
53	44
54	34
55	1
56	1
57	1
58	2
59	4
60	8
61	16
62	31
63	56
64	81
65	55
66	1
67	1
68	1
69	2
70	4
71	8
72	16
73	32
74	61
75	108
76	149
77	89
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	32
86	63
87	120
88	208
89	274
90	144
91	1

n	a(n)
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	3
15	1
16	1
17	1
18	2
19	4
20	5
21	1
22	1
23	1
24	2
25	4
26	7
27	8
28	1
29	1
30	1
31	2
32	4
33	8
34	13
35	13
36	1
37	1
38	1
39	2
40	4
41	8
42	15
43	24
44	21
45	1
46	1
47	1
48	2
49	4
50	8
51	16
52	29
53	44
54	34
55	1
56	1
57	1
58	2
59	4
60	8
61	16
62	31
63	56
64	81
65	55
66	1
67	1
68	1
69	2
70	4
71	8
72	16
73	32
74	61
75	108
76	149
77	89
78	1
79	1
80	1
81	2
82	4
83	8
84	16
85	32
86	63
87	120
88	208
89	274
90	144
91	1