A243366 - cp's OEIS frontend

A243366 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows.

n	a(n)
0	1
1	1
2	2
3	5
4	13
5	1
6	37
7	5
8	112
9	19
10	1
11	352
12	70
13	7
14	1136
15	259
16	34
17	1
18	3742
19	962
20	149
21	9
22	12529
23	3585
24	627
25	54
26	1
27	42513
28	13399
29	2584
30	279
31	11
32	145868
33	50201
34	10529
35	1334
36	79
37	1
38	505234
39	188481
40	42606
41	6092
42	474
43	13
44	1764157
45	709001
46	171563
47	27048
48	2561
49	109
50	1

[1, 1, 2, 5, 13, 1, 37, 5, 112, 19, 1, 352, 70, 7, 1136, 259, 34, 1, 3742, 962, 149, 9, 12529, 3585, 627, 54, 1, 42513, 13399, 2584, 279, 11, 145868, 50201, 10529, 1334, 79, 1, 505234, 188481, 42606, 6092, 474, 13, 1764157, 709001, 171563, 27048, 2561, 109, 1]

cp's OEIS Frontend

A243366 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2)-1), read by rows.

Table of values

List of values