A243754 - cp's OEIS frontend

A243754 Number of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

n	a(n)
0	1
1	0
2	0
3	1
4	1
5	9
6	1
7	127
8	323
9	1515
10	4191
11	10455
12	20705
13	93802
14	113634
15	3219205
16	10626023
17	45980364
18	139604903
19	555857157
20	1334821448
21	7577098816
22	20676558270
23	61994003643
24	193904367362
25	800928670232
26	2374027931492
27	12506574770693
28	29311991924792

[1, 0, 0, 1, 1, 9, 1, 127, 323, 1515, 4191, 10455, 20705, 93802, 113634, 3219205, 10626023, 45980364, 139604903, 555857157, 1334821448, 7577098816, 20676558270, 61994003643, 193904367362, 800928670232, 2374027931492, 12506574770693, 29311991924792]

cp's OEIS Frontend

A243754 Number of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

Table of values

List of values