A166292 - cp's OEIS frontend

A166292 Number of peaks at odd level in all Dyck paths of semilength n with no UUU's and no DDD's, (U=(1,1), D=(1,-1)). These Dyck paths are counted by the secondary structure numbers (A004148).

n	a(n)
0	0
1	1
2	2
3	5
4	12
5	29
6	72
7	181
8	460
9	1178
10	3030
11	7815
12	20188
13	52193
14	134992
15	349205
16	903398
17	2337135
18	6046310
19	15642402
20	40469824
21	104708914
22	270937964
23	701129755
24	1814581514
25	4696886211
26	12159165336
27	31481922733
28	81523933604
29	211143257951

[0, 1, 2, 5, 12, 29, 72, 181, 460, 1178, 3030, 7815, 20188, 52193, 134992, 349205, 903398, 2337135, 6046310, 15642402, 40469824, 104708914, 270937964, 701129755, 1814581514, 4696886211, 12159165336, 31481922733, 81523933604, 211143257951]

cp's OEIS Frontend

A166292 Number of peaks at odd level in all Dyck paths of semilength n with no UUU's and no DDD's, (U=(1,1), D=(1,-1)). These Dyck paths are counted by the secondary structure numbers (A004148).

Table of values

List of values