A334785 - cp's OEIS frontend

A334785 a(n) is the total number of down steps before the first up step in all 3_2-Dyck paths of length 4*n. A 3_2-Dyck path is a lattice path with steps (1, 3), (1, -1) that starts and ends at y = 0 and stays above the line y = -2.

n	a(n)
0	0
1	3
2	13
3	74
4	480
5	3363
6	24794
7	189540
8	1488744
9	11941820
10	97412601
11	805602850
12	6738919408
13	56918898330
14	484750343700
15	4158094853640
16	35891774969112
17	311529010178628
18	2717299393716836
19	23806014817182600
20	209389427777770240
21	1848322153489496355

[0, 3, 13, 74, 480, 3363, 24794, 189540, 1488744, 11941820, 97412601, 805602850, 6738919408, 56918898330, 484750343700, 4158094853640, 35891774969112, 311529010178628, 2717299393716836, 23806014817182600, 209389427777770240, 1848322153489496355]

cp's OEIS Frontend

A334785 a(n) is the total number of down steps before the first up step in all 3_2-Dyck paths of length 4*n. A 3_2-Dyck path is a lattice path with steps (1, 3), (1, -1) that starts and ends at y = 0 and stays above the line y = -2.

Table of values

List of values