A163181 - cp's OEIS frontend

A163181 T(n,k) is the number of weak compositions of k into n parts no greater than (n-1) for n>=1, 0<=k<=n(n-1).

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	6
8	7
9	6
10	3
11	1
12	1
13	4
14	10
15	20
16	31
17	40
18	44
19	40
20	31
21	20
22	10
23	4
24	1
25	1
26	5
27	15
28	35
29	70
30	121
31	185
32	255
33	320
34	365
35	381
36	365
37	320
38	255
39	185
40	121
41	70
42	35
43	15
44	5
45	1
46	1
47	6
48	21
49	56
50	126
51	252
52	456
53	756
54	1161
55	1666
56	2247
57	2856
58	3431
59	3906
60	4221
61	4332
62	4221
63	3906
64	3431

[1, 1, 2, 1, 1, 3, 6, 7, 6, 3, 1, 1, 4, 10, 20, 31, 40, 44, 40, 31, 20, 10, 4, 1, 1, 5, 15, 35, 70, 121, 185, 255, 320, 365, 381, 365, 320, 255, 185, 121, 70, 35, 15, 5, 1, 1, 6, 21, 56, 126, 252, 456, 756, 1161, 1666, 2247, 2856, 3431, 3906, 4221, 4332, 4221, 3906, 3431]

cp's OEIS Frontend

A163181 T(n,k) is the number of weak compositions of k into n parts no greater than (n-1) for n>=1, 0<=k<=n(n-1).

Table of values

List of values