A243771 - cp's OEIS frontend

A243771 Number of Dyck paths of semilength n having exactly two (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)
2	1
3	1
4	2
5	12
6	69
7	98
8	180
9	1056
10	3967
11	18357
12	77685
13	264563
14	1245762
15	1915056
16	5303208
17	24548040
18	107835695
19	375494210
20	1898502240
21	4942470942
22	23489565822
23	104559681798
24	413327570240
25	1426320927138
26	6025235528016
27	19911812844324
28	87316285518504

[1, 1, 2, 12, 69, 98, 180, 1056, 3967, 18357, 77685, 264563, 1245762, 1915056, 5303208, 24548040, 107835695, 375494210, 1898502240, 4942470942, 23489565822, 104559681798, 413327570240, 1426320927138, 6025235528016, 19911812844324, 87316285518504]

cp's OEIS Frontend

A243771 Number of Dyck paths of semilength n having exactly two (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