A156041 - cp's OEIS frontend

A156041 Array A(n,k) (n>=1, k>=1) read by antidiagonals, where A(n,k) is the number of compositions (ordered partitions) of n into exactly k parts, some of which may be zero, with the first part greater than or equal to all the rest.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	3
13	4
14	4
15	1
16	1
17	3
18	6
19	7
20	5
21	1
22	1
23	4
24	8
25	11
26	11
27	6
28	1
29	1
30	4
31	11
32	17
33	19
34	16
35	7
36	1
37	1
38	5
39	13
40	26
41	32
42	31
43	22
44	8
45	1
46	1
47	5
48	17
49	35
50	54
51	56
52	48
53	29
54	9
55	1
56	1
57	6
58	20
59	48
60	82
61	102
62	93
63	71
64	37
65	10
66	1
67	1
68	6
69	24
70	63
71	120
72	172
73	180
74	148
75	101
76	46
77	11
78	1
79	1
80	7
81	28
82	81
83	170

[1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 3, 4, 4, 1, 1, 3, 6, 7, 5, 1, 1, 4, 8, 11, 11, 6, 1, 1, 4, 11, 17, 19, 16, 7, 1, 1, 5, 13, 26, 32, 31, 22, 8, 1, 1, 5, 17, 35, 54, 56, 48, 29, 9, 1, 1, 6, 20, 48, 82, 102, 93, 71, 37, 10, 1, 1, 6, 24, 63, 120, 172, 180, 148, 101, 46, 11, 1, 1, 7, 28, 81, 170]

cp's OEIS Frontend

A156041 Array A(n,k) (n>=1, k>=1) read by antidiagonals, where A(n,k) is the number of compositions (ordered partitions) of n into exactly k parts, some of which may be zero, with the first part greater than or equal to all the rest.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	3
13	4
14	4
15	1
16	1
17	3
18	6
19	7
20	5
21	1
22	1
23	4
24	8
25	11
26	11
27	6
28	1
29	1
30	4
31	11
32	17
33	19
34	16
35	7
36	1
37	1
38	5
39	13
40	26
41	32
42	31
43	22
44	8
45	1
46	1
47	5
48	17
49	35
50	54
51	56
52	48
53	29
54	9
55	1
56	1
57	6
58	20
59	48
60	82
61	102
62	93
63	71
64	37
65	10
66	1
67	1
68	6
69	24
70	63
71	120
72	172
73	180
74	148
75	101
76	46
77	11
78	1
79	1
80	7
81	28
82	81
83	170

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	3
13	4
14	4
15	1
16	1
17	3
18	6
19	7
20	5
21	1
22	1
23	4
24	8
25	11
26	11
27	6
28	1
29	1
30	4
31	11
32	17
33	19
34	16
35	7
36	1
37	1
38	5
39	13
40	26
41	32
42	31
43	22
44	8
45	1
46	1
47	5
48	17
49	35
50	54
51	56
52	48
53	29
54	9
55	1
56	1
57	6
58	20
59	48
60	82
61	102
62	93
63	71
64	37
65	10
66	1
67	1
68	6
69	24
70	63
71	120
72	172
73	180
74	148
75	101
76	46
77	11
78	1
79	1
80	7
81	28
82	81
83	170

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	3
13	4
14	4
15	1
16	1
17	3
18	6
19	7
20	5
21	1
22	1
23	4
24	8
25	11
26	11
27	6
28	1
29	1
30	4
31	11
32	17
33	19
34	16
35	7
36	1
37	1
38	5
39	13
40	26
41	32
42	31
43	22
44	8
45	1
46	1
47	5
48	17
49	35
50	54
51	56
52	48
53	29
54	9
55	1
56	1
57	6
58	20
59	48
60	82
61	102
62	93
63	71
64	37
65	10
66	1
67	1
68	6
69	24
70	63
71	120
72	172
73	180
74	148
75	101
76	46
77	11
78	1
79	1
80	7
81	28
82	81
83	170