A114499 - cp's OEIS frontend

A114499 Triangle read by rows: number of Dyck paths of semilength n having k 3-bridges of a given shape (0<=k<=floor(n/3)). A 3-bridge is a subpath of the form UUUDDD or UUDUDD starting at level 0.

n	a(n)
0	1
1	1
2	2
3	4
4	1
5	12
6	2
7	37
8	5
9	119
10	12
11	1
12	390
13	36
14	3
15	1307
16	114
17	9
18	4460
19	376
20	25
21	1
22	15452
23	1262
24	78
25	4
26	54207
27	4310
28	255
29	14
30	192170
31	14934
32	863
33	44
34	1
35	687386
36	52397
37	2967
38	145
39	5
40	2477810
41	185780
42	10338
43	492
44	20
45	8992007
46	664631
47	36424
48	1712
49	70
50	1

[1, 1, 2, 4, 1, 12, 2, 37, 5, 119, 12, 1, 390, 36, 3, 1307, 114, 9, 4460, 376, 25, 1, 15452, 1262, 78, 4, 54207, 4310, 255, 14, 192170, 14934, 863, 44, 1, 687386, 52397, 2967, 145, 5, 2477810, 185780, 10338, 492, 20, 8992007, 664631, 36424, 1712, 70, 1]

cp's OEIS Frontend

A114499 Triangle read by rows: number of Dyck paths of semilength n having k 3-bridges of a given shape (0<=k<=floor(n/3)). A 3-bridge is a subpath of the form UUUDDD or UUDUDD starting at level 0.

Table of values

List of values