A228332 - cp's OEIS frontend

A228332 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(6).

n	a(n)
0	1
1	68
2	1778
3	43080
4	958430
5	20119736
6	405350788
7	7921691280
8	151231519350
9	2834134359000
10	52320693313020
11	953960351550960
12	17212782834351468
13	307826474156801840
14	5462948893700675720
15	96303960593503261984
16	1687752152779483045542
17	29424712141610821296408
18	510621541414656188646220

[1, 68, 1778, 43080, 958430, 20119736, 405350788, 7921691280, 151231519350, 2834134359000, 52320693313020, 953960351550960, 17212782834351468, 307826474156801840, 5462948893700675720, 96303960593503261984, 1687752152779483045542, 29424712141610821296408, 510621541414656188646220]

cp's OEIS Frontend

A228332 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(6).

Table of values

List of values