A298637 - cp's OEIS frontend

A298637 Triangular array of a Catalan number variety: T(n,k) is the number of words consisting of n parentheses containing k well-balanced pairs.

n	a(n)
0	1
1	2
2	3
3	1
4	4
5	4
6	5
7	9
8	2
9	6
10	16
11	10
12	7
13	25
14	27
15	5
16	8
17	36
18	56
19	28
20	9
21	49
22	100
23	84
24	14
25	10
26	64
27	162
28	192
29	84
30	11
31	81
32	245
33	375
34	270
35	42
36	12
37	100
38	352
39	660
40	660
41	264
42	13
43	121
44	486
45	1078
46	1375
47	891
48	132
49	14
50	144
51	650
52	1664
53	2574
54	2288
55	858
56	15
57	169
58	847
59	2457
60	4459
61	5005
62	3003
63	429

[1, 2, 3, 1, 4, 4, 5, 9, 2, 6, 16, 10, 7, 25, 27, 5, 8, 36, 56, 28, 9, 49, 100, 84, 14, 10, 64, 162, 192, 84, 11, 81, 245, 375, 270, 42, 12, 100, 352, 660, 660, 264, 13, 121, 486, 1078, 1375, 891, 132, 14, 144, 650, 1664, 2574, 2288, 858, 15, 169, 847, 2457, 4459, 5005, 3003, 429]

cp's OEIS Frontend

A298637 Triangular array of a Catalan number variety: T(n,k) is the number of words consisting of n parentheses containing k well-balanced pairs.

Table of values

List of values