A105422 - cp's OEIS frontend

A105422 Triangle read by rows: T(n,k) is the number of compositions of n having exactly k parts equal to 1.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	5
17	3
18	4
19	0
20	1
21	5
22	8
23	9
24	4
25	5
26	0
27	1
28	8
29	15
30	15
31	14
32	5
33	6
34	0
35	1
36	13
37	26
38	31
39	24
40	20
41	6
42	7
43	0
44	1
45	21
46	46
47	57
48	54
49	35
50	27
51	7
52	8
53	0
54	1
55	34
56	80
57	108
58	104
59	85
60	48
61	35
62	8
63	9
64	0
65	1
66	55
67	139
68	199
69	209
70	170
71	125
72	63
73	44
74	9
75	10
76	0
77	1
78	89
79	240
80	366
81	404
82	360

[1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 3, 0, 1, 3, 5, 3, 4, 0, 1, 5, 8, 9, 4, 5, 0, 1, 8, 15, 15, 14, 5, 6, 0, 1, 13, 26, 31, 24, 20, 6, 7, 0, 1, 21, 46, 57, 54, 35, 27, 7, 8, 0, 1, 34, 80, 108, 104, 85, 48, 35, 8, 9, 0, 1, 55, 139, 199, 209, 170, 125, 63, 44, 9, 10, 0, 1, 89, 240, 366, 404, 360]

cp's OEIS Frontend

A105422 Triangle read by rows: T(n,k) is the number of compositions of n having exactly k parts equal to 1.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	5
17	3
18	4
19	0
20	1
21	5
22	8
23	9
24	4
25	5
26	0
27	1
28	8
29	15
30	15
31	14
32	5
33	6
34	0
35	1
36	13
37	26
38	31
39	24
40	20
41	6
42	7
43	0
44	1
45	21
46	46
47	57
48	54
49	35
50	27
51	7
52	8
53	0
54	1
55	34
56	80
57	108
58	104
59	85
60	48
61	35
62	8
63	9
64	0
65	1
66	55
67	139
68	199
69	209
70	170
71	125
72	63
73	44
74	9
75	10
76	0
77	1
78	89
79	240
80	366
81	404
82	360

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	5
17	3
18	4
19	0
20	1
21	5
22	8
23	9
24	4
25	5
26	0
27	1
28	8
29	15
30	15
31	14
32	5
33	6
34	0
35	1
36	13
37	26
38	31
39	24
40	20
41	6
42	7
43	0
44	1
45	21
46	46
47	57
48	54
49	35
50	27
51	7
52	8
53	0
54	1
55	34
56	80
57	108
58	104
59	85
60	48
61	35
62	8
63	9
64	0
65	1
66	55
67	139
68	199
69	209
70	170
71	125
72	63
73	44
74	9
75	10
76	0
77	1
78	89
79	240
80	366
81	404
82	360

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	2
11	2
12	3
13	0
14	1
15	3
16	5
17	3
18	4
19	0
20	1
21	5
22	8
23	9
24	4
25	5
26	0
27	1
28	8
29	15
30	15
31	14
32	5
33	6
34	0
35	1
36	13
37	26
38	31
39	24
40	20
41	6
42	7
43	0
44	1
45	21
46	46
47	57
48	54
49	35
50	27
51	7
52	8
53	0
54	1
55	34
56	80
57	108
58	104
59	85
60	48
61	35
62	8
63	9
64	0
65	1
66	55
67	139
68	199
69	209
70	170
71	125
72	63
73	44
74	9
75	10
76	0
77	1
78	89
79	240
80	366
81	404
82	360