A371411 - cp's OEIS frontend

A371411 Number of Dyck paths of semilength 2n having exactly n (possibly overlapping) occurrences of the consecutive step pattern UDU, where U = (1,1) and D = (1,-1).

n	a(n)
0	1
1	1
2	3
3	20
4	140
5	1134
6	9702
7	87516
8	817245
9	7852130
10	77135630
11	771742608
12	7839348244
13	80661853300
14	839138980500
15	8813312133840
16	93339369441540
17	995827949882370
18	10694044148599350
19	115515073043785800
20	1254354063204682440
21	13685749828961247180

[1, 1, 3, 20, 140, 1134, 9702, 87516, 817245, 7852130, 77135630, 771742608, 7839348244, 80661853300, 839138980500, 8813312133840, 93339369441540, 995827949882370, 10694044148599350, 115515073043785800, 1254354063204682440, 13685749828961247180]

cp's OEIS Frontend

A371411 Number of Dyck paths of semilength 2n having exactly n (possibly overlapping) occurrences of the consecutive step pattern UDU, where U = (1,1) and D = (1,-1).

Table of values

List of values