A116914 - cp's OEIS frontend

A116914 Number of UUDD's, where U=(1,1) and D=(1,-1), in all hill-free Dyck paths of semilength n (a hill in a Dyck path is a peak at level 1).

n	a(n)
2	1
3	1
4	5
5	16
6	58
7	211
8	781
9	2920
10	11006
11	41746
12	159154
13	609324
14	2341060
15	9021559
16	34855741
17	134972368
18	523689718
19	2035462990
20	7923732118
21	30889008112
22	120566373676
23	471134916286
24	1842964183570
25	7216096752496
26	28279240308268
27	110913181145716
28	435333520075796
29	1709861650762900

[1, 1, 5, 16, 58, 211, 781, 2920, 11006, 41746, 159154, 609324, 2341060, 9021559, 34855741, 134972368, 523689718, 2035462990, 7923732118, 30889008112, 120566373676, 471134916286, 1842964183570, 7216096752496, 28279240308268, 110913181145716, 435333520075796, 1709861650762900]

cp's OEIS Frontend

A116914 Number of UUDD's, where U=(1,1) and D=(1,-1), in all hill-free Dyck paths of semilength n (a hill in a Dyck path is a peak at level 1).

Table of values

List of values