A009766 - cp's OEIS frontend

A009766 Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = Sum_{j=0..k} T(n-1,j).

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	2
6	1
7	3
8	5
9	5
10	1
11	4
12	9
13	14
14	14
15	1
16	5
17	14
18	28
19	42
20	42
21	1
22	6
23	20
24	48
25	90
26	132
27	132
28	1
29	7
30	27
31	75
32	165
33	297
34	429
35	429
36	1
37	8
38	35
39	110
40	275
41	572
42	1001
43	1430
44	1430
45	1
46	9
47	44
48	154
49	429
50	1001
51	2002
52	3432
53	4862
54	4862
55	1
56	10
57	54
58	208
59	637
60	1638
61	3640
62	7072
63	11934

[1, 1, 1, 1, 2, 2, 1, 3, 5, 5, 1, 4, 9, 14, 14, 1, 5, 14, 28, 42, 42, 1, 6, 20, 48, 90, 132, 132, 1, 7, 27, 75, 165, 297, 429, 429, 1, 8, 35, 110, 275, 572, 1001, 1430, 1430, 1, 9, 44, 154, 429, 1001, 2002, 3432, 4862, 4862, 1, 10, 54, 208, 637, 1638, 3640, 7072, 11934]

cp's OEIS Frontend

A009766 Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = Sum_{j=0..k} T(n-1,j).

Table of values

List of values