A193693 - cp's OEIS frontend

A193693 Triangle T(n,k), n>=0, 1<=k<=C(n), read by rows: T(n,k) = number of elements comparable to the k-th path in the poset of Dyck paths of semilength n ordered by inclusion.

n	a(n)
0	1
1	1
2	2
3	2
4	5
5	4
6	4
7	5
8	5
9	14
10	10
11	11
12	10
13	8
14	10
15	9
16	10
17	12
18	12
19	8
20	12
21	14
22	14
23	42
24	29
25	33
26	26
27	18
28	33
29	25
30	29
31	26
32	21
33	21
34	22
35	21
36	18
37	29
38	22
39	25
40	23
41	19
42	26
43	23
44	26
45	29
46	28
47	22
48	29
49	32
50	31
51	18
52	19
53	21
54	28
55	30
56	21
57	32
58	38
59	39
60	18
61	31
62	39
63	42
64	42
65	132
66	91
67	105
68	79
69	52
70	108
71	78
72	92
73	73
74	52

[1, 1, 2, 2, 5, 4, 4, 5, 5, 14, 10, 11, 10, 8, 10, 9, 10, 12, 12, 8, 12, 14, 14, 42, 29, 33, 26, 18, 33, 25, 29, 26, 21, 21, 22, 21, 18, 29, 22, 25, 23, 19, 26, 23, 26, 29, 28, 22, 29, 32, 31, 18, 19, 21, 28, 30, 21, 32, 38, 39, 18, 31, 39, 42, 42, 132, 91, 105, 79, 52, 108, 78, 92, 73, 52]

cp's OEIS Frontend

A193693 Triangle T(n,k), n>=0, 1<=k<=C(n), read by rows: T(n,k) = number of elements comparable to the k-th path in the poset of Dyck paths of semilength n ordered by inclusion.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	5
5	4
6	4
7	5
8	5
9	14
10	10
11	11
12	10
13	8
14	10
15	9
16	10
17	12
18	12
19	8
20	12
21	14
22	14
23	42
24	29
25	33
26	26
27	18
28	33
29	25
30	29
31	26
32	21
33	21
34	22
35	21
36	18
37	29
38	22
39	25
40	23
41	19
42	26
43	23
44	26
45	29
46	28
47	22
48	29
49	32
50	31
51	18
52	19
53	21
54	28
55	30
56	21
57	32
58	38
59	39
60	18
61	31
62	39
63	42
64	42
65	132
66	91
67	105
68	79
69	52
70	108
71	78
72	92
73	73
74	52

n	a(n)
0	1
1	1
2	2
3	2
4	5
5	4
6	4
7	5
8	5
9	14
10	10
11	11
12	10
13	8
14	10
15	9
16	10
17	12
18	12
19	8
20	12
21	14
22	14
23	42
24	29
25	33
26	26
27	18
28	33
29	25
30	29
31	26
32	21
33	21
34	22
35	21
36	18
37	29
38	22
39	25
40	23
41	19
42	26
43	23
44	26
45	29
46	28
47	22
48	29
49	32
50	31
51	18
52	19
53	21
54	28
55	30
56	21
57	32
58	38
59	39
60	18
61	31
62	39
63	42
64	42
65	132
66	91
67	105
68	79
69	52
70	108
71	78
72	92
73	73
74	52

n	a(n)
0	1
1	1
2	2
3	2
4	5
5	4
6	4
7	5
8	5
9	14
10	10
11	11
12	10
13	8
14	10
15	9
16	10
17	12
18	12
19	8
20	12
21	14
22	14
23	42
24	29
25	33
26	26
27	18
28	33
29	25
30	29
31	26
32	21
33	21
34	22
35	21
36	18
37	29
38	22
39	25
40	23
41	19
42	26
43	23
44	26
45	29
46	28
47	22
48	29
49	32
50	31
51	18
52	19
53	21
54	28
55	30
56	21
57	32
58	38
59	39
60	18
61	31
62	39
63	42
64	42
65	132
66	91
67	105
68	79
69	52
70	108
71	78
72	92
73	73
74	52