A386408 - cp's OEIS frontend

A386408 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = Sum_{j=0..n} k^j * binomial(n,j) * Catalan(j+1).

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	5
8	10
9	1
10	1
11	7
12	29
13	36
14	1
15	1
16	9
17	58
18	185
19	137
20	1
21	1
22	11
23	97
24	532
25	1257
26	543
27	1
28	1
29	13
30	146
31	1161
32	5209
33	8925
34	2219
35	1
36	1
37	15
38	205
39	2156
40	14849
41	53347
42	65445
43	9285
44	1
45	1
46	17
47	274
48	3601
49	34041
50	198729
51	564499
52	491825
53	39587
54	1

[1, 1, 1, 1, 3, 1, 1, 5, 10, 1, 1, 7, 29, 36, 1, 1, 9, 58, 185, 137, 1, 1, 11, 97, 532, 1257, 543, 1, 1, 13, 146, 1161, 5209, 8925, 2219, 1, 1, 15, 205, 2156, 14849, 53347, 65445, 9285, 1, 1, 17, 274, 3601, 34041, 198729, 564499, 491825, 39587, 1]

cp's OEIS Frontend

A386408 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = Sum_{j=0..n} k^j * binomial(n,j) * Catalan(j+1).

Table of values

List of values