A091965 - cp's OEIS frontend

A091965 Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps).

n	a(n)
0	1
1	3
2	1
3	10
4	6
5	1
6	36
7	29
8	9
9	1
10	137
11	132
12	57
13	12
14	1
15	543
16	590
17	315
18	94
19	15
20	1
21	2219
22	2628
23	1629
24	612
25	140
26	18
27	1
28	9285
29	11732
30	8127
31	3605
32	1050
33	195
34	21
35	1
36	39587
37	52608
38	39718
39	19992
40	6950
41	1656
42	259
43	24
44	1
45	171369
46	237129
47	191754
48	106644
49	42498
50	12177
51	2457

[1, 3, 1, 10, 6, 1, 36, 29, 9, 1, 137, 132, 57, 12, 1, 543, 590, 315, 94, 15, 1, 2219, 2628, 1629, 612, 140, 18, 1, 9285, 11732, 8127, 3605, 1050, 195, 21, 1, 39587, 52608, 39718, 19992, 6950, 1656, 259, 24, 1, 171369, 237129, 191754, 106644, 42498, 12177, 2457]

cp's OEIS Frontend

A091965 Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps).

Table of values

List of values