A067345 - cp's OEIS frontend

A067345 Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).

n	a(n)
1	1
2	2
3	1
4	5
5	3
6	1
7	14
8	10
9	4
10	1
11	42
12	35
13	17
14	5
15	1
16	132
17	126
18	74
19	26
20	6
21	1
22	429
23	462
24	326
25	137
26	37
27	7
28	1
29	1430
30	1716
31	1446
32	726
33	230
34	50
35	8
36	1
37	4862
38	6435
39	6441
40	3858
41	1434
42	359
43	65
44	9
45	1
46	16796
47	24310
48	28770
49	20532
50	8952
51	2582
52	530
53	82
54	10
55	1
56	58786
57	92378
58	128750

[1, 2, 1, 5, 3, 1, 14, 10, 4, 1, 42, 35, 17, 5, 1, 132, 126, 74, 26, 6, 1, 429, 462, 326, 137, 37, 7, 1, 1430, 1716, 1446, 726, 230, 50, 8, 1, 4862, 6435, 6441, 3858, 1434, 359, 65, 9, 1, 16796, 24310, 28770, 20532, 8952, 2582, 530, 82, 10, 1, 58786, 92378, 128750]

cp's OEIS Frontend

A067345 Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).

Table of values

List of values