A184957 - cp's OEIS frontend

A184957 Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) is the number of compositions of n into k parts the first of which is >= all the other parts.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	3
18	4
19	4
20	1
21	1
22	1
23	3
24	6
25	7
26	5
27	1
28	1
29	1
30	4
31	8
32	11
33	11
34	6
35	1
36	1
37	1
38	4
39	11
40	17
41	19
42	16
43	7
44	1
45	1
46	1
47	5
48	13
49	26
50	32
51	31
52	22
53	8
54	1
55	1
56	1
57	5
58	17
59	35
60	54
61	56
62	48
63	29
64	9
65	1
66	1
67	1
68	6
69	20
70	48
71	82
72	102
73	93
74	71
75	37
76	10
77	1
78	1
79	1
80	6
81	24
82	63
83	120
84	172
85	180
86	148
87	101
88	46
89	11
90	1
91	1
92	1
93	7
94	28
95	81
96	170
97	272
98	331
99	302
100	227
101	139
102	56
103	12
104	1
105	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 3, 4, 4, 1, 1, 1, 3, 6, 7, 5, 1, 1, 1, 4, 8, 11, 11, 6, 1, 1, 1, 4, 11, 17, 19, 16, 7, 1, 1, 1, 5, 13, 26, 32, 31, 22, 8, 1, 1, 1, 5, 17, 35, 54, 56, 48, 29, 9, 1, 1, 1, 6, 20, 48, 82, 102, 93, 71, 37, 10, 1, 1, 1, 6, 24, 63, 120, 172, 180, 148, 101, 46, 11, 1, 1, 1, 7, 28, 81, 170, 272, 331, 302, 227, 139, 56, 12, 1, 1]

cp's OEIS Frontend

A184957 Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) is the number of compositions of n into k parts the first of which is >= all the other parts.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	3
18	4
19	4
20	1
21	1
22	1
23	3
24	6
25	7
26	5
27	1
28	1
29	1
30	4
31	8
32	11
33	11
34	6
35	1
36	1
37	1
38	4
39	11
40	17
41	19
42	16
43	7
44	1
45	1
46	1
47	5
48	13
49	26
50	32
51	31
52	22
53	8
54	1
55	1
56	1
57	5
58	17
59	35
60	54
61	56
62	48
63	29
64	9
65	1
66	1
67	1
68	6
69	20
70	48
71	82
72	102
73	93
74	71
75	37
76	10
77	1
78	1
79	1
80	6
81	24
82	63
83	120
84	172
85	180
86	148
87	101
88	46
89	11
90	1
91	1
92	1
93	7
94	28
95	81
96	170
97	272
98	331
99	302
100	227
101	139
102	56
103	12
104	1
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	3
18	4
19	4
20	1
21	1
22	1
23	3
24	6
25	7
26	5
27	1
28	1
29	1
30	4
31	8
32	11
33	11
34	6
35	1
36	1
37	1
38	4
39	11
40	17
41	19
42	16
43	7
44	1
45	1
46	1
47	5
48	13
49	26
50	32
51	31
52	22
53	8
54	1
55	1
56	1
57	5
58	17
59	35
60	54
61	56
62	48
63	29
64	9
65	1
66	1
67	1
68	6
69	20
70	48
71	82
72	102
73	93
74	71
75	37
76	10
77	1
78	1
79	1
80	6
81	24
82	63
83	120
84	172
85	180
86	148
87	101
88	46
89	11
90	1
91	1
92	1
93	7
94	28
95	81
96	170
97	272
98	331
99	302
100	227
101	139
102	56
103	12
104	1
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	1
10	1
11	1
12	2
13	3
14	1
15	1
16	1
17	3
18	4
19	4
20	1
21	1
22	1
23	3
24	6
25	7
26	5
27	1
28	1
29	1
30	4
31	8
32	11
33	11
34	6
35	1
36	1
37	1
38	4
39	11
40	17
41	19
42	16
43	7
44	1
45	1
46	1
47	5
48	13
49	26
50	32
51	31
52	22
53	8
54	1
55	1
56	1
57	5
58	17
59	35
60	54
61	56
62	48
63	29
64	9
65	1
66	1
67	1
68	6
69	20
70	48
71	82
72	102
73	93
74	71
75	37
76	10
77	1
78	1
79	1
80	6
81	24
82	63
83	120
84	172
85	180
86	148
87	101
88	46
89	11
90	1
91	1
92	1
93	7
94	28
95	81
96	170
97	272
98	331
99	302
100	227
101	139
102	56
103	12
104	1
105	1