A334980 - cp's OEIS frontend

A334980 a(n) is the total number of down steps between the (n-1)-th and n-th up steps 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	31
3	248
4	1941
5	15334
6	122915
7	999456
8	8231740
9	68562887
10	576661761
11	4891506968
12	41801697070
13	359574305580
14	3111012673755
15	27055673506128
16	236387476114548
17	2073957836402524
18	18264689865840284
19	161403223665821280
20	1430768729986730685
21	12719497076318052990

[0, 3, 31, 248, 1941, 15334, 122915, 999456, 8231740, 68562887, 576661761, 4891506968, 41801697070, 359574305580, 3111012673755, 27055673506128, 236387476114548, 2073957836402524, 18264689865840284, 161403223665821280, 1430768729986730685, 12719497076318052990]

cp's OEIS Frontend

A334980 a(n) is the total number of down steps between the (n-1)-th and n-th up steps 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