A228331 - cp's OEIS frontend

A228331 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(5).

n	a(n)
0	1
1	36
2	780
3	16240
4	321300
5	6131664
6	114017904
7	2079380160
8	37356642180
9	663144710800
10	11657925495216
11	203295462691776
12	3521108298744400
13	60632838691387200
14	1038859802556120000
15	17721669103065158400
16	301147406355880764900
17	5099997408534884394000
18	86106549929771707182000

[1, 36, 780, 16240, 321300, 6131664, 114017904, 2079380160, 37356642180, 663144710800, 11657925495216, 203295462691776, 3521108298744400, 60632838691387200, 1038859802556120000, 17721669103065158400, 301147406355880764900, 5099997408534884394000, 86106549929771707182000]

cp's OEIS Frontend

A228331 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(5).

Table of values

List of values