A243838 - cp's OEIS frontend

A243838 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDDUUUUDUDDDDUDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/9)), read by rows.

n	a(n)
0	1
1	1
2	2
3	5
4	14
5	42
6	132
7	429
8	1430
9	4862
10	16795
11	1
12	58783
13	3
14	208002
15	10
16	742865
17	35
18	2674314
19	126
20	9694383
21	462
22	35355954
23	1716
24	129638355
25	6435
26	477614390
27	24310
28	1767170813
29	92376
30	1
31	6563767708
32	352708
33	4
34	24464914958
35	1352046
36	16
37	91477363405
38	5200170
39	65

[1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16795, 1, 58783, 3, 208002, 10, 742865, 35, 2674314, 126, 9694383, 462, 35355954, 1716, 129638355, 6435, 477614390, 24310, 1767170813, 92376, 1, 6563767708, 352708, 4, 24464914958, 1352046, 16, 91477363405, 5200170, 65]

cp's OEIS Frontend

A243838 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDDUUUUDUDDDDUDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/9)), read by rows.

Table of values

List of values