A256061 - cp's OEIS frontend

A256061 Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	4
6	0
7	5
8	30
9	30
10	0
11	14
12	196
13	504
14	336
15	0
16	42
17	1260
18	6300
19	10080
20	5040
21	0
22	132
23	8184
24	71280
25	205920
26	237600
27	95040
28	0
29	429
30	54054
31	774774
32	3603600
33	7207200
34	6486480
35	2162160
36	0
37	1430
38	363220
39	8288280
40	58378320
41	180180000
42	273873600
43	201801600
44	57657600

[1, 0, 1, 0, 2, 4, 0, 5, 30, 30, 0, 14, 196, 504, 336, 0, 42, 1260, 6300, 10080, 5040, 0, 132, 8184, 71280, 205920, 237600, 95040, 0, 429, 54054, 774774, 3603600, 7207200, 6486480, 2162160, 0, 1430, 363220, 8288280, 58378320, 180180000, 273873600, 201801600, 57657600]

cp's OEIS Frontend

A256061 Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values