A193694 - cp's OEIS frontend

A193694 Triangle T(n,k), n>=0, 1<=k<=C(n), read by rows: T(n,k) = number of elements incomparable to the k-th path in the poset of Dyck paths of semilength n ordered by inclusion.

n	a(n)
0	0
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	4
11	3
12	4
13	6
14	4
15	5
16	4
17	2
18	2
19	6
20	2
21	0
22	0
23	0
24	13
25	9
26	16
27	24
28	9
29	17
30	13
31	16
32	21
33	21
34	20
35	21
36	24
37	13
38	20
39	17
40	19
41	23
42	16
43	19
44	16
45	13
46	14
47	20
48	13
49	10
50	11
51	24
52	23
53	21
54	14
55	12
56	21
57	10
58	4
59	3
60	24
61	11
62	3
63	0
64	0
65	0
66	41
67	27
68	53
69	80
70	24
71	54
72	40
73	59
74	80
75	66
76	75
77	86
78	99
79	27

[0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 4, 3, 4, 6, 4, 5, 4, 2, 2, 6, 2, 0, 0, 0, 13, 9, 16, 24, 9, 17, 13, 16, 21, 21, 20, 21, 24, 13, 20, 17, 19, 23, 16, 19, 16, 13, 14, 20, 13, 10, 11, 24, 23, 21, 14, 12, 21, 10, 4, 3, 24, 11, 3, 0, 0, 0, 41, 27, 53, 80, 24, 54, 40, 59, 80, 66, 75, 86, 99, 27]

cp's OEIS Frontend

A193694 Triangle T(n,k), n>=0, 1<=k<=C(n), read by rows: T(n,k) = number of elements incomparable 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	0
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	4
11	3
12	4
13	6
14	4
15	5
16	4
17	2
18	2
19	6
20	2
21	0
22	0
23	0
24	13
25	9
26	16
27	24
28	9
29	17
30	13
31	16
32	21
33	21
34	20
35	21
36	24
37	13
38	20
39	17
40	19
41	23
42	16
43	19
44	16
45	13
46	14
47	20
48	13
49	10
50	11
51	24
52	23
53	21
54	14
55	12
56	21
57	10
58	4
59	3
60	24
61	11
62	3
63	0
64	0
65	0
66	41
67	27
68	53
69	80
70	24
71	54
72	40
73	59
74	80
75	66
76	75
77	86
78	99
79	27

n	a(n)
0	0
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	4
11	3
12	4
13	6
14	4
15	5
16	4
17	2
18	2
19	6
20	2
21	0
22	0
23	0
24	13
25	9
26	16
27	24
28	9
29	17
30	13
31	16
32	21
33	21
34	20
35	21
36	24
37	13
38	20
39	17
40	19
41	23
42	16
43	19
44	16
45	13
46	14
47	20
48	13
49	10
50	11
51	24
52	23
53	21
54	14
55	12
56	21
57	10
58	4
59	3
60	24
61	11
62	3
63	0
64	0
65	0
66	41
67	27
68	53
69	80
70	24
71	54
72	40
73	59
74	80
75	66
76	75
77	86
78	99
79	27

n	a(n)
0	0
1	0
2	0
3	0
4	0
5	1
6	1
7	0
8	0
9	0
10	4
11	3
12	4
13	6
14	4
15	5
16	4
17	2
18	2
19	6
20	2
21	0
22	0
23	0
24	13
25	9
26	16
27	24
28	9
29	17
30	13
31	16
32	21
33	21
34	20
35	21
36	24
37	13
38	20
39	17
40	19
41	23
42	16
43	19
44	16
45	13
46	14
47	20
48	13
49	10
50	11
51	24
52	23
53	21
54	14
55	12
56	21
57	10
58	4
59	3
60	24
61	11
62	3
63	0
64	0
65	0
66	41
67	27
68	53
69	80
70	24
71	54
72	40
73	59
74	80
75	66
76	75
77	86
78	99
79	27