A373949 - cp's OEIS frontend

A373949 Triangle read by rows where T(n,k) is the number of integer compositions of n such that replacing each run of repeated parts with a single part (run-compression) yields a composition of k.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	0
9	3
10	0
11	1
12	1
13	2
14	4
15	0
16	1
17	0
18	4
19	4
20	7
21	0
22	1
23	1
24	5
25	6
26	5
27	14
28	0
29	1
30	0
31	6
32	10
33	10
34	14
35	23
36	0
37	1
38	1
39	6
40	14
41	12
42	29
43	26
44	39
45	0
46	1
47	0
48	9
49	16
50	19
51	40
52	54
53	46
54	71
55	0
56	1
57	1
58	8
59	22
60	22
61	64
62	82
63	96
64	92
65	124
66	0
67	1
68	0
69	10
70	26
71	30
72	82
73	137
74	144
75	204
76	176
77	214

[1, 0, 1, 0, 1, 1, 0, 1, 0, 3, 0, 1, 1, 2, 4, 0, 1, 0, 4, 4, 7, 0, 1, 1, 5, 6, 5, 14, 0, 1, 0, 6, 10, 10, 14, 23, 0, 1, 1, 6, 14, 12, 29, 26, 39, 0, 1, 0, 9, 16, 19, 40, 54, 46, 71, 0, 1, 1, 8, 22, 22, 64, 82, 96, 92, 124, 0, 1, 0, 10, 26, 30, 82, 137, 144, 204, 176, 214]

cp's OEIS Frontend

A373949 Triangle read by rows where T(n,k) is the number of integer compositions of n such that replacing each run of repeated parts with a single part (run-compression) yields a composition of k.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	0
9	3
10	0
11	1
12	1
13	2
14	4
15	0
16	1
17	0
18	4
19	4
20	7
21	0
22	1
23	1
24	5
25	6
26	5
27	14
28	0
29	1
30	0
31	6
32	10
33	10
34	14
35	23
36	0
37	1
38	1
39	6
40	14
41	12
42	29
43	26
44	39
45	0
46	1
47	0
48	9
49	16
50	19
51	40
52	54
53	46
54	71
55	0
56	1
57	1
58	8
59	22
60	22
61	64
62	82
63	96
64	92
65	124
66	0
67	1
68	0
69	10
70	26
71	30
72	82
73	137
74	144
75	204
76	176
77	214

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	0
9	3
10	0
11	1
12	1
13	2
14	4
15	0
16	1
17	0
18	4
19	4
20	7
21	0
22	1
23	1
24	5
25	6
26	5
27	14
28	0
29	1
30	0
31	6
32	10
33	10
34	14
35	23
36	0
37	1
38	1
39	6
40	14
41	12
42	29
43	26
44	39
45	0
46	1
47	0
48	9
49	16
50	19
51	40
52	54
53	46
54	71
55	0
56	1
57	1
58	8
59	22
60	22
61	64
62	82
63	96
64	92
65	124
66	0
67	1
68	0
69	10
70	26
71	30
72	82
73	137
74	144
75	204
76	176
77	214

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	0
7	1
8	0
9	3
10	0
11	1
12	1
13	2
14	4
15	0
16	1
17	0
18	4
19	4
20	7
21	0
22	1
23	1
24	5
25	6
26	5
27	14
28	0
29	1
30	0
31	6
32	10
33	10
34	14
35	23
36	0
37	1
38	1
39	6
40	14
41	12
42	29
43	26
44	39
45	0
46	1
47	0
48	9
49	16
50	19
51	40
52	54
53	46
54	71
55	0
56	1
57	1
58	8
59	22
60	22
61	64
62	82
63	96
64	92
65	124
66	0
67	1
68	0
69	10
70	26
71	30
72	82
73	137
74	144
75	204
76	176
77	214