A243770 - cp's OEIS frontend

A243770 Number of Dyck paths of semilength n having exactly one occurrence of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

n	a(n)
1	1
2	1
3	3
4	11
5	16
6	57
7	161
8	927
9	1997
10	5539
11	25638
12	68850
13	275765
14	995088
15	2784600
16	19235059
17	53549250
18	177389053
19	711629836
20	2641203240
21	7517769634
22	31706388438
23	147201204924
24	455738363552
25	1614252170849
26	6020919907344
27	23811404216400
28	79787485940824

[1, 1, 3, 11, 16, 57, 161, 927, 1997, 5539, 25638, 68850, 275765, 995088, 2784600, 19235059, 53549250, 177389053, 711629836, 2641203240, 7517769634, 31706388438, 147201204924, 455738363552, 1614252170849, 6020919907344, 23811404216400, 79787485940824]

cp's OEIS Frontend

A243770 Number of Dyck paths of semilength n having exactly one occurrence of 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