A096588 - cp's OEIS frontend

A096588 a(n)=number of Catalan knight paths in Quadrant I from (0,0) to points on the vertical line x=n. A Catalan knight moves (2 right and 1 up) or (1 right and 1 down).

n	a(n)
0	1
1	1
2	3
3	6
4	16
5	38
6	99
7	248
8	646
9	1659
10	4342
11	11307
12	29740
13	78115
14	206349
15	545156
16	1445332
17	3834559
18	10197168
19	27140709
20	72357778
21	193076677
22	515843630
23	1379308111
24	3691755414
25	9888374480
26	26507373732
27	71103941488
28	190859621124

[1, 1, 3, 6, 16, 38, 99, 248, 646, 1659, 4342, 11307, 29740, 78115, 206349, 545156, 1445332, 3834559, 10197168, 27140709, 72357778, 193076677, 515843630, 1379308111, 3691755414, 9888374480, 26507373732, 71103941488, 190859621124]

cp's OEIS Frontend

A096588 a(n)=number of Catalan knight paths in Quadrant I from (0,0) to points on the vertical line x=n. A Catalan knight moves (2 right and 1 up) or (1 right and 1 down).

Table of values

List of values