A108437 - cp's OEIS frontend

A108437 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 having height of the first peak equal to k.

n	a(n)
1	1
2	1
3	2
4	5
5	2
6	1
7	10
8	28
9	13
10	11
11	3
12	1
13	66
14	196
15	90
16	89
17	34
18	18
19	4
20	1
21	498
22	1532
23	694
24	736
25	311
26	197
27	66
28	26
29	5
30	1
31	4066
32	12804
33	5738
34	6344
35	2800
36	1937
37	762
38	367
39	110
40	35
41	6
42	1
43	34970
44	111964
45	49758
46	56576
47	25560
48	18636
49	7953
50	4263
51	1551
52	615
53	167
54	45
55	7
56	1

[1, 1, 2, 5, 2, 1, 10, 28, 13, 11, 3, 1, 66, 196, 90, 89, 34, 18, 4, 1, 498, 1532, 694, 736, 311, 197, 66, 26, 5, 1, 4066, 12804, 5738, 6344, 2800, 1937, 762, 367, 110, 35, 6, 1, 34970, 111964, 49758, 56576, 25560, 18636, 7953, 4263, 1551, 615, 167, 45, 7, 1]

cp's OEIS Frontend

A108437 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 having height of the first peak equal to k.

Table of values

List of values