A384471 - cp's OEIS frontend

A384471 a(n) = Sum_{k=0..n} binomial(n,k)^2 * Stirling2(2k,k) Stirling2(2n-2k,n-k).

n	a(n)
0	1
1	2
2	18
3	306
4	8046
5	296100
6	14307254
7	865996306
8	63308257198
9	5432272670376
10	535074966419260
11	59461066810476232
12	7354069129792197762
13	1001371912804041913056
14	148806933109572134044158
15	23958722845801073318076450
16	4154065510530807075869275150
17	771608888261061026185781127184

[1, 2, 18, 306, 8046, 296100, 14307254, 865996306, 63308257198, 5432272670376, 535074966419260, 59461066810476232, 7354069129792197762, 1001371912804041913056, 148806933109572134044158, 23958722845801073318076450, 4154065510530807075869275150, 771608888261061026185781127184]

cp's OEIS Frontend

A384471 a(n) = Sum_{k=0..n} binomial(n,k)^2 * Stirling2(2k,k) Stirling2(2n-2k,n-k).

Table of values

List of values

cp's OEIS Frontend

A384471 a(n) = Sum_{k=0..n} binomial(n,k)^2 * Stirling2(2*k,k) * Stirling2(2*n-2*k,n-k).

Table of values

List of values

A384471 a(n) = Sum_{k=0..n} binomial(n,k)^2 * Stirling2(2k,k) Stirling2(2n-2k,n-k).