%I #9 Dec 18 2015 18:18:05
%S 1,14,1243,6716352,268997909000,1568091719977974635,
%T 70570762532647014868797563,841333288100321854075145135825724005,
%U 79538689762318826508394939059605661254128283987
%N Number of n X n 0..n arrays with every element equal to a diagonal or antidiagonal reflection, and new values 0 upwards introduced in row major order
%C Diagonal of A209684
%H R. H. Hardin, <a href="/A209677/b209677.txt">Table of n, a(n) for n = 1..34</a>
%e Some.solutions.for.n=3
%e ..0..0..1....0..0..0....0..1..0....0..0..1....0..1..1....0..1..1....0..1..1
%e ..0..1..2....0..1..1....1..2..1....2..1..0....1..0..0....1..0..2....1..1..2
%e ..1..2..0....2..1..1....2..1..1....0..2..0....0..0..1....2..2..0....1..2..1
%K nonn
%O 1,2
%A _R. H. Hardin_ Mar 11 2012