A243881 - cp's OEIS frontend

A243881 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.

n	a(n)
0	1
1	1
2	2
3	5
4	14
5	41
6	1
7	129
8	3
9	419
10	10
11	1395
12	35
13	4737
14	124
15	1
16	16338
17	454
18	4
19	57086
20	1684
21	16
22	201642
23	6305
24	65
25	718855
26	23781
27	263
28	1
29	2583149
30	90209
31	1077
32	5
33	9346594
34	343809
35	4419
36	23
37	34023934
38	1315499
39	18132
40	105
41	124519805
42	5050144
43	74368
44	472
45	1

[1, 1, 2, 5, 14, 41, 1, 129, 3, 419, 10, 1395, 35, 4737, 124, 1, 16338, 454, 4, 57086, 1684, 16, 201642, 6305, 65, 718855, 23781, 263, 1, 2583149, 90209, 1077, 5, 9346594, 343809, 4419, 23, 34023934, 1315499, 18132, 105, 124519805, 5050144, 74368, 472, 1]

cp's OEIS Frontend

A243881 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/4)), read by rows.

Table of values

List of values