A364439 - cp's OEIS frontend

A364439 a(n) is the number of paths with length 3*n that begin at (0,0), end at (0,0), and do not reach (0,0) at any point in between while 0 <= y <= x at every step, where a path is a sequence of steps in the form (1,1), (1,-1), and (-2,0).

n	a(n)
0	1
1	1
2	4
3	33
4	367
5	4844
6	71597
7	1147653
8	19559062
9	349766457
10	6502419671
11	124822220086
12	2461515013103
13	49668479230825
14	1022258042480874
15	21406231023989503
16	455112508356168561
17	9807294681518154334
18	213897254891041613995
19	4715809234441541498539

[1, 1, 4, 33, 367, 4844, 71597, 1147653, 19559062, 349766457, 6502419671, 124822220086, 2461515013103, 49668479230825, 1022258042480874, 21406231023989503, 455112508356168561, 9807294681518154334, 213897254891041613995, 4715809234441541498539]

cp's OEIS Frontend

A364439 a(n) is the number of paths with length 3*n that begin at (0,0), end at (0,0), and do not reach (0,0) at any point in between while 0 <= y <= x at every step, where a path is a sequence of steps in the form (1,1), (1,-1), and (-2,0).

Table of values

List of values