%I #14 Aug 05 2025 13:26:18
%S 13,275,3132,54081,879613,14115912,228181579,3665485997,59089675296,
%T 953116106453,15359172282512,247519894627506,3989312579467033,
%U 64295755893155813,1036249111850136058,16701156795097887219,269171376323906767043,4338212868125922303122,69918626725476106899801
%N Number of n X 7 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4.
%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 4's
%H R. H. Hardin, <a href="/A196321/b196321.txt">Table of n, a(n) for n = 1..200</a>
%e Some solutions for n=4:
%e ..0..0..2..0..0..2..0....0..0..0..0..2..0..2....0..0..0..2..0..0..0
%e ..0..2..3..0..2..3..0....0..0..0..2..3..2..0....2..2..0..3..2..2..0
%e ..2..3..2..0..3..2..0....2..2..0..2..1..2..0....0..2..2..2..0..2..2
%e ..0..0..0..0..2..0..0....0..2..0..0..2..0..0....2..0..0..0..0..0..0
%Y Column 7 of A196322.
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 01 2011