A334787 - cp's OEIS frontend

A334787 a(n) is the total number of down steps before the first up step in all 4_3-Dyck paths of length 5*n. A 4_3-Dyck path is a lattice path with steps (1, 4), (1, -1) that starts and ends at y = 0 and stays above the line y = -3.

n	a(n)
0	0
1	6
2	34
3	251
4	2105
5	19040
6	181076
7	1784728
8	18067803
9	186754590
10	1962728460
11	20910164730
12	225308533359
13	2451112021568
14	26885549373440
15	297008527319440
16	3301615350645935
17	36903975448964670
18	414518195957729886
19	4676429192392769805
20	52965796433899543810

[0, 6, 34, 251, 2105, 19040, 181076, 1784728, 18067803, 186754590, 1962728460, 20910164730, 225308533359, 2451112021568, 26885549373440, 297008527319440, 3301615350645935, 36903975448964670, 414518195957729886, 4676429192392769805, 52965796433899543810]

cp's OEIS Frontend

A334787 a(n) is the total number of down steps before the first up step in all 4_3-Dyck paths of length 5*n. A 4_3-Dyck path is a lattice path with steps (1, 4), (1, -1) that starts and ends at y = 0 and stays above the line y = -3.

Table of values

List of values