A109195 - cp's OEIS frontend

A109195 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k returns to the x-axis from above (i.e., d steps hitting the x-axis).

n	a(n)
0	1
1	1
2	2
3	1
4	4
5	3
6	9
7	9
8	1
9	21
10	25
11	5
12	51
13	69
14	20
15	1
16	127
17	189
18	70
19	7
20	323
21	518
22	230
23	35
24	1
25	835
26	1422
27	726
28	147
29	9
30	2188
31	3915
32	2235
33	560
34	54
35	1
36	5798
37	10813
38	6765
39	2002
40	264
41	11
42	15511
43	29964
44	20240
45	6853
46	1143
47	77
48	1
49	41835
50	83304
51	60060
52	22737
53	4563
54	429
55	13

[1, 1, 2, 1, 4, 3, 9, 9, 1, 21, 25, 5, 51, 69, 20, 1, 127, 189, 70, 7, 323, 518, 230, 35, 1, 835, 1422, 726, 147, 9, 2188, 3915, 2235, 560, 54, 1, 5798, 10813, 6765, 2002, 264, 11, 15511, 29964, 20240, 6853, 1143, 77, 1, 41835, 83304, 60060, 22737, 4563, 429, 13]

cp's OEIS Frontend

A109195 Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k returns to the x-axis from above (i.e., d steps hitting the x-axis).

Table of values

List of values