A108429 - cp's OEIS frontend

A108429 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 down steps (d).

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	0
6	2
7	5
8	3
9	0
10	0
11	0
12	5
13	21
14	28
15	12
16	0
17	0
18	0
19	0
20	14
21	84
22	180
23	165
24	55
25	0
26	0
27	0
28	0
29	0
30	42
31	330
32	990
33	1430
34	1001
35	273
36	0
37	0
38	0
39	0
40	0
41	0
42	132
43	1287
44	5005
45	10010
46	10920
47	6188
48	1428
49	0
50	0
51	0
52	0
53	0
54	0
55	0
56	429
57	5005
58	24024
59	61880
60	92820
61	81396
62	38760
63	7752
64	0
65	0
66	0
67	0

[1, 0, 1, 1, 0, 0, 2, 5, 3, 0, 0, 0, 5, 21, 28, 12, 0, 0, 0, 0, 14, 84, 180, 165, 55, 0, 0, 0, 0, 0, 42, 330, 990, 1430, 1001, 273, 0, 0, 0, 0, 0, 0, 132, 1287, 5005, 10010, 10920, 6188, 1428, 0, 0, 0, 0, 0, 0, 0, 429, 5005, 24024, 61880, 92820, 81396, 38760, 7752, 0, 0, 0, 0]

cp's OEIS Frontend

A108429 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 down steps (d).

Table of values

List of values