A097805 - cp's OEIS frontend

A097805 Number of compositions of n with k parts, T(n, k) = binomial(n-1, k-1) for n, k >= 1 and T(n, 0) = 0^n, triangle read by rows for n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	1
10	0
11	1
12	3
13	3
14	1
15	0
16	1
17	4
18	6
19	4
20	1
21	0
22	1
23	5
24	10
25	10
26	5
27	1
28	0
29	1
30	6
31	15
32	20
33	15
34	6
35	1
36	0
37	1
38	7
39	21
40	35
41	35
42	21
43	7
44	1
45	0
46	1
47	8
48	28
49	56
50	70
51	56
52	28
53	8
54	1
55	0
56	1
57	9
58	36
59	84
60	126
61	126
62	84
63	36
64	9
65	1
66	0
67	1
68	10
69	45
70	120
71	210
72	252
73	210
74	120
75	45
76	10
77	1
78	0
79	1
80	11
81	55
82	165
83	330
84	462
85	462
86	330
87	165
88	55
89	11
90	1

[1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 1, 0, 1, 4, 6, 4, 1, 0, 1, 5, 10, 10, 5, 1, 0, 1, 6, 15, 20, 15, 6, 1, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 1, 8, 28, 56, 70, 56, 28, 8, 1, 0, 1, 9, 36, 84, 126, 126, 84, 36, 9, 1, 0, 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 0, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1]

cp's OEIS Frontend

A097805 Number of compositions of n with k parts, T(n, k) = binomial(n-1, k-1) for n, k >= 1 and T(n, 0) = 0^n, triangle read by rows for n >= 0 and 0 <= k <= n.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	1
10	0
11	1
12	3
13	3
14	1
15	0
16	1
17	4
18	6
19	4
20	1
21	0
22	1
23	5
24	10
25	10
26	5
27	1
28	0
29	1
30	6
31	15
32	20
33	15
34	6
35	1
36	0
37	1
38	7
39	21
40	35
41	35
42	21
43	7
44	1
45	0
46	1
47	8
48	28
49	56
50	70
51	56
52	28
53	8
54	1
55	0
56	1
57	9
58	36
59	84
60	126
61	126
62	84
63	36
64	9
65	1
66	0
67	1
68	10
69	45
70	120
71	210
72	252
73	210
74	120
75	45
76	10
77	1
78	0
79	1
80	11
81	55
82	165
83	330
84	462
85	462
86	330
87	165
88	55
89	11
90	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	1
10	0
11	1
12	3
13	3
14	1
15	0
16	1
17	4
18	6
19	4
20	1
21	0
22	1
23	5
24	10
25	10
26	5
27	1
28	0
29	1
30	6
31	15
32	20
33	15
34	6
35	1
36	0
37	1
38	7
39	21
40	35
41	35
42	21
43	7
44	1
45	0
46	1
47	8
48	28
49	56
50	70
51	56
52	28
53	8
54	1
55	0
56	1
57	9
58	36
59	84
60	126
61	126
62	84
63	36
64	9
65	1
66	0
67	1
68	10
69	45
70	120
71	210
72	252
73	210
74	120
75	45
76	10
77	1
78	0
79	1
80	11
81	55
82	165
83	330
84	462
85	462
86	330
87	165
88	55
89	11
90	1

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	2
9	1
10	0
11	1
12	3
13	3
14	1
15	0
16	1
17	4
18	6
19	4
20	1
21	0
22	1
23	5
24	10
25	10
26	5
27	1
28	0
29	1
30	6
31	15
32	20
33	15
34	6
35	1
36	0
37	1
38	7
39	21
40	35
41	35
42	21
43	7
44	1
45	0
46	1
47	8
48	28
49	56
50	70
51	56
52	28
53	8
54	1
55	0
56	1
57	9
58	36
59	84
60	126
61	126
62	84
63	36
64	9
65	1
66	0
67	1
68	10
69	45
70	120
71	210
72	252
73	210
74	120
75	45
76	10
77	1
78	0
79	1
80	11
81	55
82	165
83	330
84	462
85	462
86	330
87	165
88	55
89	11
90	1