A072574 - cp's OEIS frontend

A072574 Triangle T(n,k) of number of compositions (ordered partitions) of n into exactly k distinct parts, 1<=k<=n.

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	0
20	0
21	0
22	1
23	6
24	6
25	0
26	0
27	0
28	0
29	1
30	6
31	12
32	0
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	0
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	24
49	24
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	24
60	0
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	48
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	12
81	48
82	72
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	0
92	1
93	12
94	60
95	120
96	0

[1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 4, 0, 0, 0, 1, 4, 6, 0, 0, 0, 1, 6, 6, 0, 0, 0, 0, 1, 6, 12, 0, 0, 0, 0, 0, 1, 8, 18, 0, 0, 0, 0, 0, 0, 1, 8, 24, 24, 0, 0, 0, 0, 0, 0, 1, 10, 30, 24, 0, 0, 0, 0, 0, 0, 0, 1, 10, 42, 48, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 48, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 12, 60, 120, 0]

cp's OEIS Frontend

A072574 Triangle T(n,k) of number of compositions (ordered partitions) of n into exactly k distinct parts, 1<=k<=n.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	0
20	0
21	0
22	1
23	6
24	6
25	0
26	0
27	0
28	0
29	1
30	6
31	12
32	0
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	0
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	24
49	24
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	24
60	0
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	48
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	12
81	48
82	72
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	0
92	1
93	12
94	60
95	120
96	0

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	0
20	0
21	0
22	1
23	6
24	6
25	0
26	0
27	0
28	0
29	1
30	6
31	12
32	0
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	0
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	24
49	24
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	24
60	0
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	48
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	12
81	48
82	72
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	0
92	1
93	12
94	60
95	120
96	0

n	a(n)
1	1
2	1
3	0
4	1
5	2
6	0
7	1
8	2
9	0
10	0
11	1
12	4
13	0
14	0
15	0
16	1
17	4
18	6
19	0
20	0
21	0
22	1
23	6
24	6
25	0
26	0
27	0
28	0
29	1
30	6
31	12
32	0
33	0
34	0
35	0
36	0
37	1
38	8
39	18
40	0
41	0
42	0
43	0
44	0
45	0
46	1
47	8
48	24
49	24
50	0
51	0
52	0
53	0
54	0
55	0
56	1
57	10
58	30
59	24
60	0
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	10
69	42
70	48
71	0
72	0
73	0
74	0
75	0
76	0
77	0
78	0
79	1
80	12
81	48
82	72
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0
91	0
92	1
93	12
94	60
95	120
96	0