A166295 - cp's OEIS frontend

A166295 Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n and having k UUDUDD's starting at level 0 (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).

n	a(n)
0	1
1	1
2	2
3	3
4	1
5	6
6	2
7	12
8	5
9	26
10	10
11	1
12	57
13	22
14	3
15	128
16	48
17	9
18	291
19	109
20	22
21	1
22	670
23	250
24	54
25	4
26	1558
27	582
28	129
29	14
30	3655
31	1366
32	311
33	40
34	1
35	8639
36	3232
37	750
38	109
39	5
40	20554
41	7696
42	1818
43	284
44	20
45	49185
46	18432
47	4419
48	730
49	65
50	1
51	118301
52	44368
53	10776
54	1856
55	195
56	6

[1, 1, 2, 3, 1, 6, 2, 12, 5, 26, 10, 1, 57, 22, 3, 128, 48, 9, 291, 109, 22, 1, 670, 250, 54, 4, 1558, 582, 129, 14, 3655, 1366, 311, 40, 1, 8639, 3232, 750, 109, 5, 20554, 7696, 1818, 284, 20, 49185, 18432, 4419, 730, 65, 1, 118301, 44368, 10776, 1856, 195, 6]

cp's OEIS Frontend

A166295 Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n and having k UUDUDD's starting at level 0 (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)).

Table of values

List of values