A109191 - cp's OEIS frontend

A109191 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k hills (i.e., ud's starting at level 0). (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	1
2	2
3	1
4	5
5	2
6	13
7	5
8	1
9	34
10	14
11	3
12	91
13	40
14	9
15	1
16	247
17	114
18	28
19	4
20	678
21	327
22	87
23	14
24	1
25	1877
26	942
27	267
28	48
29	5
30	5233
31	2723
32	815
33	161
34	20
35	1
36	14674
37	7892
38	2478
39	528
40	75
41	6
42	41349
43	22924
44	7512
45	1706
46	270
47	27
48	1
49	117001
50	66712
51	22718
52	5452
53	941
54	110
55	7
56	332260

[1, 1, 2, 1, 5, 2, 13, 5, 1, 34, 14, 3, 91, 40, 9, 1, 247, 114, 28, 4, 678, 327, 87, 14, 1, 1877, 942, 267, 48, 5, 5233, 2723, 815, 161, 20, 1, 14674, 7892, 2478, 528, 75, 6, 41349, 22924, 7512, 1706, 270, 27, 1, 117001, 66712, 22718, 5452, 941, 110, 7, 332260]

cp's OEIS Frontend

A109191 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k hills (i.e., ud's starting at level 0). (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