A108435 - cp's OEIS frontend

A108435 Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k returns to the x-axis.

n	a(n)
1	2
2	6
3	4
4	34
5	24
6	8
7	238
8	172
9	72
10	16
11	1858
12	1360
13	624
14	192
15	32
16	15510
17	11444
18	5520
19	1952
20	480
21	64
22	135490
23	100520
24	50040
25	19136
26	5600
27	1152
28	128
29	1223134
30	911068
31	463512
32	186416
33	60320
34	15168
35	2688
36	256
37	11320066
38	8457504
39	4371808
40	1821312
41	629440
42	178176
43	39424
44	6144
45	512

[2, 6, 4, 34, 24, 8, 238, 172, 72, 16, 1858, 1360, 624, 192, 32, 15510, 11444, 5520, 1952, 480, 64, 135490, 100520, 50040, 19136, 5600, 1152, 128, 1223134, 911068, 463512, 186416, 60320, 15168, 2688, 256, 11320066, 8457504, 4371808, 1821312, 629440, 178176, 39424, 6144, 512]

cp's OEIS Frontend

A108435 Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k returns to the x-axis.

Table of values

List of values