%I #7 Dec 18 2015 18:18:04

%S 2,81,28672,791015625,191221621088256,7860041410116536427241,

%T 2836619246897071128576000000000,

%U 304913968803300753908857213381006097576481

%N Number of n X n 0..n arrays with every element equal to a diagonal or antidiagonal reflection

%C Diagonal of A209593

%H R. H. Hardin, <a href="/A209585/b209585.txt">Table of n, a(n) for n = 1..10</a>

%F a(n) = (n+1) ^ (2n-(n modulo 2)) * ((n+1)*(2n+1)) ^ ((n*n-2n+(n modulo 2))/4)

%e Some solutions for n=3

%e ..0..0..1....3..0..2....2..0..1....0..3..0....2..0..0....3..3..3....0..2..2

%e ..0..1..1....1..0..0....0..1..3....2..3..3....2..3..0....2..1..3....2..1..2

%e ..3..1..2....0..1..1....1..3..3....3..2..2....2..2..3....0..2..0....0..2..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 10 2012