A334979 - cp's OEIS frontend

A334979 a(n) is the total number of down steps between the (n-1)-th and n-th up steps in all 3_1-Dyck paths of length 4*n. A 3_1-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 = -1.

n	a(n)
0	0
1	1
2	16
3	132
4	1034
5	8134
6	64880
7	525132
8	4307512
9	35750473
10	299759200
11	2535849836
12	21619615164
13	185582339740
14	1602675301920
15	13915031036412
16	121396437548136
17	1063653520870612
18	9355905795325888
19	82585983533819920
20	731350409249262330
21	6495673923406863630

[0, 1, 16, 132, 1034, 8134, 64880, 525132, 4307512, 35750473, 299759200, 2535849836, 21619615164, 185582339740, 1602675301920, 13915031036412, 121396437548136, 1063653520870612, 9355905795325888, 82585983533819920, 731350409249262330, 6495673923406863630]

cp's OEIS Frontend

A334979 a(n) is the total number of down steps between the (n-1)-th and n-th up steps in all 3_1-Dyck paths of length 4*n. A 3_1-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 = -1.

Table of values

List of values