A131044 - cp's OEIS frontend

A131044 Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n into k parts such that at least two adjacent parts are equal.

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	2
10	1
11	1
12	0
13	4
14	4
15	1
16	1
17	1
18	3
19	8
20	5
21	1
22	1
23	0
24	6
25	14
26	14
27	6
28	1
29	1
30	1
31	6
32	21
33	32
34	21
35	7
36	1
37	1
38	0
39	7
40	32
41	55
42	54
43	28
44	8
45	1
46	1
47	1
48	8
49	38
50	96
51	116
52	83
53	36
54	9
55	1
56	1
57	0
58	10
59	54
60	142
61	222
62	206
63	120
64	45
65	10
66	1
67	1
68	1
69	9
70	65
71	211
72	386
73	438
74	328
75	165
76	55
77	11
78	1

[1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 4, 4, 1, 1, 1, 3, 8, 5, 1, 1, 0, 6, 14, 14, 6, 1, 1, 1, 6, 21, 32, 21, 7, 1, 1, 0, 7, 32, 55, 54, 28, 8, 1, 1, 1, 8, 38, 96, 116, 83, 36, 9, 1, 1, 0, 10, 54, 142, 222, 206, 120, 45, 10, 1, 1, 1, 9, 65, 211, 386, 438, 328, 165, 55, 11, 1]

cp's OEIS Frontend

A131044 Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n into k parts such that at least two adjacent parts are equal.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	2
10	1
11	1
12	0
13	4
14	4
15	1
16	1
17	1
18	3
19	8
20	5
21	1
22	1
23	0
24	6
25	14
26	14
27	6
28	1
29	1
30	1
31	6
32	21
33	32
34	21
35	7
36	1
37	1
38	0
39	7
40	32
41	55
42	54
43	28
44	8
45	1
46	1
47	1
48	8
49	38
50	96
51	116
52	83
53	36
54	9
55	1
56	1
57	0
58	10
59	54
60	142
61	222
62	206
63	120
64	45
65	10
66	1
67	1
68	1
69	9
70	65
71	211
72	386
73	438
74	328
75	165
76	55
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	2
10	1
11	1
12	0
13	4
14	4
15	1
16	1
17	1
18	3
19	8
20	5
21	1
22	1
23	0
24	6
25	14
26	14
27	6
28	1
29	1
30	1
31	6
32	21
33	32
34	21
35	7
36	1
37	1
38	0
39	7
40	32
41	55
42	54
43	28
44	8
45	1
46	1
47	1
48	8
49	38
50	96
51	116
52	83
53	36
54	9
55	1
56	1
57	0
58	10
59	54
60	142
61	222
62	206
63	120
64	45
65	10
66	1
67	1
68	1
69	9
70	65
71	211
72	386
73	438
74	328
75	165
76	55
77	11
78	1

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	2
10	1
11	1
12	0
13	4
14	4
15	1
16	1
17	1
18	3
19	8
20	5
21	1
22	1
23	0
24	6
25	14
26	14
27	6
28	1
29	1
30	1
31	6
32	21
33	32
34	21
35	7
36	1
37	1
38	0
39	7
40	32
41	55
42	54
43	28
44	8
45	1
46	1
47	1
48	8
49	38
50	96
51	116
52	83
53	36
54	9
55	1
56	1
57	0
58	10
59	54
60	142
61	222
62	206
63	120
64	45
65	10
66	1
67	1
68	1
69	9
70	65
71	211
72	386
73	438
74	328
75	165
76	55
77	11
78	1