A109193 - cp's OEIS frontend

A109193 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k returns to the x-axis (i.e., d or u steps hitting the x-axis).

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	6
6	1
7	14
8	4
9	1
10	30
11	20
12	1
13	64
14	68
15	8
16	1
17	140
18	196
19	56
20	1
21	318
22	524
23	248
24	16
25	1
26	750
27	1356
28	888
29	144
30	1
31	1828
32	3476
33	2832
34	784
35	32
36	1
37	4576
38	8932
39	8448
40	3344
41	352
42	1
43	11700
44	23136
45	24248
46	12368
47	2272
48	64
49	1
50	30420
51	60528
52	68120
53	41808
54	11232
55	832
56	1

[1, 1, 1, 2, 1, 6, 1, 14, 4, 1, 30, 20, 1, 64, 68, 8, 1, 140, 196, 56, 1, 318, 524, 248, 16, 1, 750, 1356, 888, 144, 1, 1828, 3476, 2832, 784, 32, 1, 4576, 8932, 8448, 3344, 352, 1, 11700, 23136, 24248, 12368, 2272, 64, 1, 30420, 60528, 68120, 41808, 11232, 832, 1]

cp's OEIS Frontend

A109193 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k returns to the x-axis (i.e., d or u steps hitting the x-axis).

Table of values

List of values