A289352 - cp's OEIS frontend

A289352 Irregular triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with floor((n+2)/2) up movements in odd numbered positions and k returns to the x axis.

n	a(n)
1	1
2	0
3	1
4	1
5	2
6	1
7	2
8	3
9	6
10	8
11	6
12	10
13	15
14	15
15	10
16	50
17	60
18	45
19	20
20	105
21	140
22	126
23	84
24	35
25	490
26	560
27	420
28	224
29	70
30	1176
31	1470
32	1260
33	840
34	420
35	126
36	5292
37	5880
38	4410
39	2520
40	1050
41	252
42	13860
43	16632
44	13860
45	9240
46	4950
47	1980
48	462
49	60984
50	66528
51	49896
52	29568
53	13860
54	4752
55	924

[1, 0, 1, 1, 2, 1, 2, 3, 6, 8, 6, 10, 15, 15, 10, 50, 60, 45, 20, 105, 140, 126, 84, 35, 490, 560, 420, 224, 70, 1176, 1470, 1260, 840, 420, 126, 5292, 5880, 4410, 2520, 1050, 252, 13860, 16632, 13860, 9240, 4950, 1980, 462, 60984, 66528, 49896, 29568, 13860, 4752, 924]

cp's OEIS Frontend

A289352 Irregular triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with floor((n+2)/2) up movements in odd numbered positions and k returns to the x axis.

Table of values

List of values