A373951 - cp's OEIS frontend

A373951 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 n - k.

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

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

cp's OEIS Frontend

A373951 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 n - k.

Table of values

List of values

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

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

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