A228330 - cp's OEIS frontend

A228330 Let h(m) denote the sequence whose n-th term is Sum_{k=0..n} (k+1)^m*T(n,k)^2, where T(n,k) is the Catalan triangle A039598. This is h(4).

n	a(n)
0	1
1	20
2	362
3	6504
4	114686
5	1992536
6	34231540
7	583027920
8	9862508790
9	165918037560
10	2778642667020
11	46358257249200
12	770951008563372
13	12785838603285104
14	211540243555702376
15	3492587812271418784
16	57557091526140668070
17	946970607665938615032
18	15557339429900195819164
19	255246113991506558429936

[1, 20, 362, 6504, 114686, 1992536, 34231540, 583027920, 9862508790, 165918037560, 2778642667020, 46358257249200, 770951008563372, 12785838603285104, 211540243555702376, 3492587812271418784, 57557091526140668070, 946970607665938615032, 15557339429900195819164, 255246113991506558429936]

cp's OEIS Frontend

A228330 Let h(m) denote the sequence whose n-th term is Sum_{k=0..n} (k+1)^m*T(n,k)^2, where T(n,k) is the Catalan triangle A039598. This is h(4).

Table of values

List of values