cp's OEIS Frontend

A209592 Number of n X n 0..7 arrays with every element equal to a diagonal or antidiagonal reflection.

%I A209592 #8 Jul 22 2025 21:50:35
%S A209592 8,4096,3932160,241591910400,27831388078080000,
%T A209592 205195258022068224000000,2836619246897071128576000000000,
%U A209592 2509659166022727122011815936000000000000
%N A209592 Number of n X n 0..7 arrays with every element equal to a diagonal or antidiagonal reflection.
%C A209592 Column 7 of A209593
%H A209592 R. H. Hardin, <a href="/A209592/b209592.txt">Table of n, a(n) for n = 1..30</a>
%F A209592 a(n) = 8 ^ (2*n-(n modulo 2)) * 120 ^ ((n*n-2*n+(n modulo 2))/4)
%e A209592 Some solutions for n=3
%e A209592 ..0..3..3....0..2..7....0..3..7....0..4..0....0..7..7....0..7..5....0..4..0
%e A209592 ..3..2..7....2..5..5....3..5..3....6..7..4....7..1..2....4..6..7....1..0..4
%e A209592 ..4..7..0....7..5..0....3..3..0....6..6..0....7..2..0....5..4..0....1..1..0
%K A209592 nonn
%O A209592 1,1
%A A209592 _R. H. Hardin_ Mar 10 2012