A114486 - cp's OEIS frontend

A114486 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k UUDD's starting at level 0; here U=(1,1), D=(1,-1) (0<=k<=floor(n/2)).

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	2
6	10
7	3
8	1
9	31
10	8
11	3
12	98
13	27
14	6
15	1
16	321
17	88
18	16
19	4
20	1078
21	287
22	54
23	10
24	1
25	3686
26	960
27	183
28	28
29	5
30	12789
31	3280
32	616
33	95
34	15
35	1
36	44919
37	11378
38	2106
39	332
40	45
41	6
42	159407
43	39953
44	7323
45	1152
46	155
47	21
48	1
49	570704
50	141752
51	25785
52	4028
53	556
54	68
55	7
56	2058817

[1, 1, 1, 1, 3, 2, 10, 3, 1, 31, 8, 3, 98, 27, 6, 1, 321, 88, 16, 4, 1078, 287, 54, 10, 1, 3686, 960, 183, 28, 5, 12789, 3280, 616, 95, 15, 1, 44919, 11378, 2106, 332, 45, 6, 159407, 39953, 7323, 1152, 155, 21, 1, 570704, 141752, 25785, 4028, 556, 68, 7, 2058817]

cp's OEIS Frontend

A114486 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k UUDD's starting at level 0; here U=(1,1), D=(1,-1) (0<=k<=floor(n/2)).

Table of values

List of values