A240315 - cp's OEIS frontend

A240315 Triangular array read by rows: T(n,k) is the number of compositions of n into exactly k parts in which no part is unique (each part occurs at least twice).

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	0
18	0
19	0
20	1
21	0
22	0
23	1
24	1
25	6
26	0
27	1
28	0
29	0
30	0
31	0
32	0
33	10
34	0
35	1
36	0
37	0
38	1
39	0
40	7
41	10
42	15
43	0
44	1
45	0
46	0
47	0
48	1
49	0
50	10
51	20
52	21
53	0
54	1
55	0
56	0
57	1
58	0
59	12
60	1
61	30
62	35
63	28
64	0
65	1
66	0
67	0
68	0
69	0
70	0
71	20
72	0
73	56
74	56
75	36
76	0
77	1
78	0
79	0
80	1
81	1
82	13
83	10
84	126
85	21
86	98
87	84
88	45
89	0
90	1

[1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 6, 0, 1, 0, 0, 0, 0, 0, 10, 0, 1, 0, 0, 1, 0, 7, 10, 15, 0, 1, 0, 0, 0, 1, 0, 10, 20, 21, 0, 1, 0, 0, 1, 0, 12, 1, 30, 35, 28, 0, 1, 0, 0, 0, 0, 0, 20, 0, 56, 56, 36, 0, 1, 0, 0, 1, 1, 13, 10, 126, 21, 98, 84, 45, 0, 1]

cp's OEIS Frontend

A240315 Triangular array read by rows: T(n,k) is the number of compositions of n into exactly k parts in which no part is unique (each part occurs at least twice).

Table of values

List of values

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	0
18	0
19	0
20	1
21	0
22	0
23	1
24	1
25	6
26	0
27	1
28	0
29	0
30	0
31	0
32	0
33	10
34	0
35	1
36	0
37	0
38	1
39	0
40	7
41	10
42	15
43	0
44	1
45	0
46	0
47	0
48	1
49	0
50	10
51	20
52	21
53	0
54	1
55	0
56	0
57	1
58	0
59	12
60	1
61	30
62	35
63	28
64	0
65	1
66	0
67	0
68	0
69	0
70	0
71	20
72	0
73	56
74	56
75	36
76	0
77	1
78	0
79	0
80	1
81	1
82	13
83	10
84	126
85	21
86	98
87	84
88	45
89	0
90	1

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	0
18	0
19	0
20	1
21	0
22	0
23	1
24	1
25	6
26	0
27	1
28	0
29	0
30	0
31	0
32	0
33	10
34	0
35	1
36	0
37	0
38	1
39	0
40	7
41	10
42	15
43	0
44	1
45	0
46	0
47	0
48	1
49	0
50	10
51	20
52	21
53	0
54	1
55	0
56	0
57	1
58	0
59	12
60	1
61	30
62	35
63	28
64	0
65	1
66	0
67	0
68	0
69	0
70	0
71	20
72	0
73	56
74	56
75	36
76	0
77	1
78	0
79	0
80	1
81	1
82	13
83	10
84	126
85	21
86	98
87	84
88	45
89	0
90	1

n	a(n)
0	1
1	0
2	0
3	0
4	0
5	1
6	0
7	0
8	0
9	1
10	0
11	0
12	1
13	0
14	1
15	0
16	0
17	0
18	0
19	0
20	1
21	0
22	0
23	1
24	1
25	6
26	0
27	1
28	0
29	0
30	0
31	0
32	0
33	10
34	0
35	1
36	0
37	0
38	1
39	0
40	7
41	10
42	15
43	0
44	1
45	0
46	0
47	0
48	1
49	0
50	10
51	20
52	21
53	0
54	1
55	0
56	0
57	1
58	0
59	12
60	1
61	30
62	35
63	28
64	0
65	1
66	0
67	0
68	0
69	0
70	0
71	20
72	0
73	56
74	56
75	36
76	0
77	1
78	0
79	0
80	1
81	1
82	13
83	10
84	126
85	21
86	98
87	84
88	45
89	0
90	1