A114593 - cp's OEIS frontend

A114593 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n, having k ascents of length at least 2 (1 <= k <= floor(n/2), n >= 2).

n	a(n)
2	1
3	2
4	4
5	2
6	8
7	10
8	16
9	36
10	5
11	32
12	112
13	42
14	64
15	320
16	224
17	14
18	128
19	864
20	960
21	168
22	256
23	2240
24	3600
25	1200
26	42
27	512
28	5632
29	12320
30	6600
31	660
32	1024
33	13824
34	39424
35	30800
36	5940
37	132
38	2048
39	33280
40	119808
41	128128
42	40040
43	2574
44	4096
45	78848
46	349440
47	489216
48	224224
49	28028
50	429

[1, 2, 4, 2, 8, 10, 16, 36, 5, 32, 112, 42, 64, 320, 224, 14, 128, 864, 960, 168, 256, 2240, 3600, 1200, 42, 512, 5632, 12320, 6600, 660, 1024, 13824, 39424, 30800, 5940, 132, 2048, 33280, 119808, 128128, 40040, 2574, 4096, 78848, 349440, 489216, 224224, 28028, 429]

cp's OEIS Frontend

A114593 Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n, having k ascents of length at least 2 (1 <= k <= floor(n/2), n >= 2).

Table of values

List of values