A228333 - cp's OEIS frontend

A228333 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(7).

n	a(n)
0	1
1	132
2	4260
3	120400
4	3017700
5	69776784
6	1524611088
7	31951782720
8	648578888100
9	12837530477200
10	248966505964176
11	4747739344525632
12	89267646282614800
13	1658349027407016000
14	30489930211792680000
15	555544747397829254400
16	10042477557290424843300
17	180267292319119226298000
18	3215718323211443887530000

[1, 132, 4260, 120400, 3017700, 69776784, 1524611088, 31951782720, 648578888100, 12837530477200, 248966505964176, 4747739344525632, 89267646282614800, 1658349027407016000, 30489930211792680000, 555544747397829254400, 10042477557290424843300, 180267292319119226298000, 3215718323211443887530000]

cp's OEIS Frontend

A228333 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(7).

Table of values

List of values