A353856 - cp's OEIS frontend

A353856 Triangle read by rows where T(n,k) is the number of integer compositions of n with run-sum trajectory (condensation) ending in a composition of length k.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	0
6	0
7	2
8	2
9	0
10	0
11	5
12	2
13	1
14	0
15	0
16	2
17	12
18	2
19	0
20	0
21	0
22	8
23	10
24	12
25	2
26	0
27	0
28	0
29	2
30	32
31	23
32	6
33	1
34	0
35	0
36	0
37	20
38	26
39	51
40	28
41	3
42	0
43	0
44	0
45	0
46	5
47	66
48	109
49	52
50	22
51	2
52	0
53	0
54	0
55	0
56	8
57	108
58	144
59	188
60	53
61	10
62	1
63	0
64	0
65	0
66	0
67	2
68	134
69	358
70	282
71	196
72	48
73	4
74	0
75	0
76	0
77	0

[1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 5, 2, 1, 0, 0, 2, 12, 2, 0, 0, 0, 8, 10, 12, 2, 0, 0, 0, 2, 32, 23, 6, 1, 0, 0, 0, 20, 26, 51, 28, 3, 0, 0, 0, 0, 5, 66, 109, 52, 22, 2, 0, 0, 0, 0, 8, 108, 144, 188, 53, 10, 1, 0, 0, 0, 0, 2, 134, 358, 282, 196, 48, 4, 0, 0, 0, 0]

cp's OEIS Frontend

A353856 Triangle read by rows where T(n,k) is the number of integer compositions of n with run-sum trajectory (condensation) ending in a composition of length k.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	0
6	0
7	2
8	2
9	0
10	0
11	5
12	2
13	1
14	0
15	0
16	2
17	12
18	2
19	0
20	0
21	0
22	8
23	10
24	12
25	2
26	0
27	0
28	0
29	2
30	32
31	23
32	6
33	1
34	0
35	0
36	0
37	20
38	26
39	51
40	28
41	3
42	0
43	0
44	0
45	0
46	5
47	66
48	109
49	52
50	22
51	2
52	0
53	0
54	0
55	0
56	8
57	108
58	144
59	188
60	53
61	10
62	1
63	0
64	0
65	0
66	0
67	2
68	134
69	358
70	282
71	196
72	48
73	4
74	0
75	0
76	0
77	0

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	0
6	0
7	2
8	2
9	0
10	0
11	5
12	2
13	1
14	0
15	0
16	2
17	12
18	2
19	0
20	0
21	0
22	8
23	10
24	12
25	2
26	0
27	0
28	0
29	2
30	32
31	23
32	6
33	1
34	0
35	0
36	0
37	20
38	26
39	51
40	28
41	3
42	0
43	0
44	0
45	0
46	5
47	66
48	109
49	52
50	22
51	2
52	0
53	0
54	0
55	0
56	8
57	108
58	144
59	188
60	53
61	10
62	1
63	0
64	0
65	0
66	0
67	2
68	134
69	358
70	282
71	196
72	48
73	4
74	0
75	0
76	0
77	0

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	0
6	0
7	2
8	2
9	0
10	0
11	5
12	2
13	1
14	0
15	0
16	2
17	12
18	2
19	0
20	0
21	0
22	8
23	10
24	12
25	2
26	0
27	0
28	0
29	2
30	32
31	23
32	6
33	1
34	0
35	0
36	0
37	20
38	26
39	51
40	28
41	3
42	0
43	0
44	0
45	0
46	5
47	66
48	109
49	52
50	22
51	2
52	0
53	0
54	0
55	0
56	8
57	108
58	144
59	188
60	53
61	10
62	1
63	0
64	0
65	0
66	0
67	2
68	134
69	358
70	282
71	196
72	48
73	4
74	0
75	0
76	0
77	0