A114500 - cp's OEIS frontend

A114500 Number of Dyck paths of semilength n having no UUUDDD's starting at level zero; here U=(1,1), D=(1,-1). Also number of Dyck paths of semilength n having no UUDUDD's starting at level zero.

n	a(n)
0	1
1	1
2	2
3	4
4	12
5	37
6	119
7	390
8	1307
9	4460
10	15452
11	54207
12	192170
13	687386
14	2477810
15	8992007
16	32825653
17	120460613
18	444125661
19	1644324767
20	6111002752
21	22789116600
22	85251100275
23	319826371389
24	1203008722282
25	4536009027311
26	17141555233270

[1, 1, 2, 4, 12, 37, 119, 390, 1307, 4460, 15452, 54207, 192170, 687386, 2477810, 8992007, 32825653, 120460613, 444125661, 1644324767, 6111002752, 22789116600, 85251100275, 319826371389, 1203008722282, 4536009027311, 17141555233270]

cp's OEIS Frontend

A114500 Number of Dyck paths of semilength n having no UUUDDD's starting at level zero; here U=(1,1), D=(1,-1). Also number of Dyck paths of semilength n having no UUDUDD's starting at level zero.

Table of values

List of values