A243772 - cp's OEIS frontend

A243772 Number of Dyck paths of semilength n having exactly three (possibly overlapping) occurrences 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)
5	4
6	5
7	35
8	0
9	280
10	1991
11	4115
12	34840
13	96286
14	309036
15	1045200
16	193240
17	5159120
18	40653929
19	105545340
20	603157520
21	2582073261
22	11015773404
23	26828044860
24	182118031760
25	726122370210
26	3026319516720
27	9620891607824
28	49247195403600
29	161316665871200
30	638742288482240

[4, 5, 35, 0, 280, 1991, 4115, 34840, 96286, 309036, 1045200, 193240, 5159120, 40653929, 105545340, 603157520, 2582073261, 11015773404, 26828044860, 182118031760, 726122370210, 3026319516720, 9620891607824, 49247195403600, 161316665871200, 638742288482240]

cp's OEIS Frontend

A243772 Number of Dyck paths of semilength n having exactly three (possibly overlapping) occurrences 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