A243752 - cp's OEIS frontend

A243752 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	1
5	1
6	1
7	3
8	1
9	1
10	11
11	2
12	9
13	16
14	12
15	4
16	1
17	1
18	57
19	69
20	5
21	127
22	161
23	98
24	35
25	7
26	1
27	323
28	927
29	180
30	1515
31	1997
32	1056
33	280
34	14
35	4191
36	5539
37	3967
38	1991
39	781
40	244
41	64
42	17
43	1
44	1
45	10455
46	25638
47	18357
48	4115
49	220
50	1
51	20705
52	68850
53	77685
54	34840
55	5685
56	246
57	1

[1, 0, 1, 0, 1, 1, 1, 3, 1, 1, 11, 2, 9, 16, 12, 4, 1, 1, 57, 69, 5, 127, 161, 98, 35, 7, 1, 323, 927, 180, 1515, 1997, 1056, 280, 14, 4191, 5539, 3967, 1991, 781, 244, 64, 17, 1, 1, 10455, 25638, 18357, 4115, 220, 1, 20705, 68850, 77685, 34840, 5685, 246, 1]

cp's OEIS Frontend

A243752 Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows.

Table of values

List of values