A243998 - cp's OEIS frontend

A243998 Number T(n,k) of Dyck paths of semilength n with exactly k (possibly overlapping) occurrences of some of the consecutive patterns of Dyck paths of semilength 3; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

n	a(n)
0	1
1	1
2	2
3	0
4	5
5	1
6	11
7	2
8	1
9	33
10	7
11	1
12	4
13	90
14	30
15	7
16	1
17	11
18	245
19	142
20	24
21	6
22	1
23	29
24	680
25	570
26	121
27	24
28	5
29	1
30	81
31	1884
32	2176
33	578
34	112
35	25
36	5
37	1
38	220
39	5265
40	7935
41	2649
42	580
43	116
44	25
45	5
46	1
47	608
48	14747
49	28022
50	11827
51	2825
52	602
53	124
54	25
55	5
56	1

[1, 1, 2, 0, 5, 1, 11, 2, 1, 33, 7, 1, 4, 90, 30, 7, 1, 11, 245, 142, 24, 6, 1, 29, 680, 570, 121, 24, 5, 1, 81, 1884, 2176, 578, 112, 25, 5, 1, 220, 5265, 7935, 2649, 580, 116, 25, 5, 1, 608, 14747, 28022, 11827, 2825, 602, 124, 25, 5, 1]

cp's OEIS Frontend

A243998 Number T(n,k) of Dyck paths of semilength n with exactly k (possibly overlapping) occurrences of some of the consecutive patterns of Dyck paths of semilength 3; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

Table of values

List of values