A333156 - cp's OEIS frontend

A333156 Number of Dyck paths with no UUU's and no DDD's, of semilength 2n and having exactly n (possibly overlapping) occurrences of the consecutive pattern UDUD, where U=(1,1) and D=(1,-1).

n	a(n)
0	1
1	1
2	1
3	8
4	20
5	84
6	448
7	1500
8	8085
9	37895
10	161161
11	874328
12	4053140
13	19724964
14	103818660
15	499182288
16	2574393657
17	13320605595
18	66783194335
19	351243492600
20	1816922207100
21	9395207816280
22	49712099948160
23	259448325851520
24	1367225671234800
25	7260061875376752

[1, 1, 1, 8, 20, 84, 448, 1500, 8085, 37895, 161161, 874328, 4053140, 19724964, 103818660, 499182288, 2574393657, 13320605595, 66783194335, 351243492600, 1816922207100, 9395207816280, 49712099948160, 259448325851520, 1367225671234800, 7260061875376752]

cp's OEIS Frontend

A333156 Number of Dyck paths with no UUU's and no DDD's, of semilength 2n and having exactly n (possibly overlapping) occurrences of the consecutive pattern UDUD, where U=(1,1) and D=(1,-1).

Table of values

List of values