A124644 - cp's OEIS frontend

A124644 Triangle read by rows. T(n, k) = binomial(n, k) * CatalanNumber(n - k).

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	1
6	5
7	6
8	3
9	1
10	14
11	20
12	12
13	4
14	1
15	42
16	70
17	50
18	20
19	5
20	1
21	132
22	252
23	210
24	100
25	30
26	6
27	1
28	429
29	924
30	882
31	490
32	175
33	42
34	7
35	1
36	1430
37	3432
38	3696
39	2352
40	980
41	280
42	56
43	8
44	1
45	4862
46	12870
47	15444
48	11088
49	5292
50	1764
51	420
52	72
53	9
54	1
55	16796
56	48620
57	64350
58	51480
59	27720

[1, 1, 1, 2, 2, 1, 5, 6, 3, 1, 14, 20, 12, 4, 1, 42, 70, 50, 20, 5, 1, 132, 252, 210, 100, 30, 6, 1, 429, 924, 882, 490, 175, 42, 7, 1, 1430, 3432, 3696, 2352, 980, 280, 56, 8, 1, 4862, 12870, 15444, 11088, 5292, 1764, 420, 72, 9, 1, 16796, 48620, 64350, 51480, 27720]

cp's OEIS Frontend

A124644 Triangle read by rows. T(n, k) = binomial(n, k) * CatalanNumber(n - k).

Table of values

List of values