A109189 - cp's OEIS frontend

A109189 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k (1,0)-steps at level zero. (A Grand Motzkin path is a path in the half-plane x>=0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).).

n	a(n)
0	1
1	0
2	1
3	2
4	0
5	1
6	2
7	4
8	0
9	1
10	8
11	4
12	6
13	0
14	1
15	16
16	20
17	6
18	8
19	0
20	1
21	46
22	40
23	36
24	8
25	10
26	0
27	1
28	114
29	128
30	72
31	56
32	10
33	12
34	0
35	1
36	310
37	324
38	254
39	112
40	80
41	12
42	14
43	0
44	1
45	822
46	932
47	654
48	432
49	160
50	108
51	14
52	16
53	0
54	1
55	2238
56	2540
57	1986
58	1128
59	670
60	216
61	140
62	16
63	18
64	0
65	1
66	6094
67	7164
68	5546

[1, 0, 1, 2, 0, 1, 2, 4, 0, 1, 8, 4, 6, 0, 1, 16, 20, 6, 8, 0, 1, 46, 40, 36, 8, 10, 0, 1, 114, 128, 72, 56, 10, 12, 0, 1, 310, 324, 254, 112, 80, 12, 14, 0, 1, 822, 932, 654, 432, 160, 108, 14, 16, 0, 1, 2238, 2540, 1986, 1128, 670, 216, 140, 16, 18, 0, 1, 6094, 7164, 5546]

cp's OEIS Frontend

A109189 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k (1,0)-steps at level zero. (A Grand Motzkin path is a path in the half-plane x>=0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).).

Table of values

List of values