A193692 - cp's OEIS frontend

A193692 Triangle T(n,k), n>=0, 1<=k<=C(n), read by rows: T(n,k) = number of elements >= 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	1
4	5
5	3
6	3
7	2
8	1
9	14
10	9
11	10
12	7
13	4
14	9
15	6
16	7
17	5
18	3
19	4
20	3
21	2
22	1
23	42
24	28
25	32
26	23
27	14
28	32
29	22
30	26
31	19
32	12
33	17
34	13
35	9
36	5
37	28
38	19
39	22
40	16
41	10
42	23
43	16
44	19
45	14
46	9
47	13
48	10
49	7
50	4
51	14
52	10
53	12
54	9
55	6
56	9
57	7
58	5
59	3
60	5
61	4
62	3
63	2
64	1
65	132
66	90
67	104
68	76
69	48
70	107
71	75
72	89
73	66
74	43
75	62
76	48
77	34
78	20
79	104

[1, 1, 2, 1, 5, 3, 3, 2, 1, 14, 9, 10, 7, 4, 9, 6, 7, 5, 3, 4, 3, 2, 1, 42, 28, 32, 23, 14, 32, 22, 26, 19, 12, 17, 13, 9, 5, 28, 19, 22, 16, 10, 23, 16, 19, 14, 9, 13, 10, 7, 4, 14, 10, 12, 9, 6, 9, 7, 5, 3, 5, 4, 3, 2, 1, 132, 90, 104, 76, 48, 107, 75, 89, 66, 43, 62, 48, 34, 20, 104]

cp's OEIS Frontend

A193692 Triangle T(n,k), n>=0, 1<=k<=C(n), read by rows: T(n,k) = number of elements >= 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	1
4	5
5	3
6	3
7	2
8	1
9	14
10	9
11	10
12	7
13	4
14	9
15	6
16	7
17	5
18	3
19	4
20	3
21	2
22	1
23	42
24	28
25	32
26	23
27	14
28	32
29	22
30	26
31	19
32	12
33	17
34	13
35	9
36	5
37	28
38	19
39	22
40	16
41	10
42	23
43	16
44	19
45	14
46	9
47	13
48	10
49	7
50	4
51	14
52	10
53	12
54	9
55	6
56	9
57	7
58	5
59	3
60	5
61	4
62	3
63	2
64	1
65	132
66	90
67	104
68	76
69	48
70	107
71	75
72	89
73	66
74	43
75	62
76	48
77	34
78	20
79	104

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	3
6	3
7	2
8	1
9	14
10	9
11	10
12	7
13	4
14	9
15	6
16	7
17	5
18	3
19	4
20	3
21	2
22	1
23	42
24	28
25	32
26	23
27	14
28	32
29	22
30	26
31	19
32	12
33	17
34	13
35	9
36	5
37	28
38	19
39	22
40	16
41	10
42	23
43	16
44	19
45	14
46	9
47	13
48	10
49	7
50	4
51	14
52	10
53	12
54	9
55	6
56	9
57	7
58	5
59	3
60	5
61	4
62	3
63	2
64	1
65	132
66	90
67	104
68	76
69	48
70	107
71	75
72	89
73	66
74	43
75	62
76	48
77	34
78	20
79	104

n	a(n)
0	1
1	1
2	2
3	1
4	5
5	3
6	3
7	2
8	1
9	14
10	9
11	10
12	7
13	4
14	9
15	6
16	7
17	5
18	3
19	4
20	3
21	2
22	1
23	42
24	28
25	32
26	23
27	14
28	32
29	22
30	26
31	19
32	12
33	17
34	13
35	9
36	5
37	28
38	19
39	22
40	16
41	10
42	23
43	16
44	19
45	14
46	9
47	13
48	10
49	7
50	4
51	14
52	10
53	12
54	9
55	6
56	9
57	7
58	5
59	3
60	5
61	4
62	3
63	2
64	1
65	132
66	90
67	104
68	76
69	48
70	107
71	75
72	89
73	66
74	43
75	62
76	48
77	34
78	20
79	104