A380822 - cp's OEIS frontend

A380822 Triangle read by rows: T(n,k) is the number of compositions of n with k pairs of equal adjacent parts and all parts in standard order.

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

[1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 3, 1, 0, 1, 2, 1, 4, 1, 0, 1, 3, 3, 3, 5, 1, 0, 1, 2, 10, 5, 4, 6, 1, 0, 1, 5, 9, 17, 8, 5, 7, 1, 0, 1, 8, 16, 22, 26, 10, 6, 8, 1, 0, 1, 10, 35, 33, 37, 37, 12, 7, 9, 1, 0, 1, 19, 44, 80, 59, 56, 48, 14, 8, 10, 1, 0, 1]

cp's OEIS Frontend

A380822 Triangle read by rows: T(n,k) is the number of compositions of n with k pairs of equal adjacent parts and all parts in standard order.

Table of values

List of values

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

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

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