A193629 - cp's OEIS frontend

A193629 Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length chains 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	9
6	7
7	2
8	14
9	70
10	176
11	249
12	202
13	88
14	16
15	42
16	552
17	3573
18	13609
19	33260
20	54430
21	60517
22	45248
23	21824
24	6144
25	768
26	132
27	4587
28	72490
29	653521
30	3785264
31	15104787
32	43358146
33	91942710
34	146186256
35	175196202
36	157630704
37	104922224
38	50152960
39	16290560
40	3221504

[1, 1, 2, 1, 5, 9, 7, 2, 14, 70, 176, 249, 202, 88, 16, 42, 552, 3573, 13609, 33260, 54430, 60517, 45248, 21824, 6144, 768, 132, 4587, 72490, 653521, 3785264, 15104787, 43358146, 91942710, 146186256, 175196202, 157630704, 104922224, 50152960, 16290560, 3221504]

cp's OEIS Frontend

A193629 Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length chains in the poset of Dyck paths of semilength n ordered by inclusion.

Table of values

List of values