A242450 - cp's OEIS frontend

A242450 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UUDDUDUUUUDUDDDDUUDD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/8)), 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	477614391
27	24308
28	1
29	1767170815
30	92372
31	3
32	6563767715
33	352694
34	11
35	24464914983
36	1351996
37	41
38	91477363496
39	5199988

[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, 477614391, 24308, 1, 1767170815, 92372, 3, 6563767715, 352694, 11, 24464914983, 1351996, 41, 91477363496, 5199988]

cp's OEIS Frontend

A242450 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UUDDUDUUUUDUDDDDUUDD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/8)), read by rows.

Table of values

List of values