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A233158 Number of 5Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.

%I A233158 #6 Jul 23 2025 07:55:27
%S A233158 243,1536,15552,157464,1658232,17587584,187446312,2000708640,
%T A233158 21367730664,228251103552,2438324338248,26048163809952,
%U A233158 278268995799144,2972714012485056,31757156984626632,339258043287199008
%N A233158 Number of 5Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.
%C A233158 Row 5 of A233155
%H A233158 R. H. Hardin, <a href="/A233158/b233158.txt">Table of n, a(n) for n = 1..210</a>
%F A233158 Empirical: a(n) = 16*a(n-1) -64*a(n-2) +76*a(n-3) +17*a(n-4) -84*a(n-5) +48*a(n-6) -8*a(n-7) for n>11
%e A233158 Some solutions for n=4
%e A233158 ..1..2..2..1....1..2..2..1....0..1..2..1....1..0..1..0....1..2..1..2
%e A233158 ..2..1..2..1....2..1..2..1....2..1..0..1....0..0..1..2....2..2..2..2
%e A233158 ..0..1..2..2....0..1..2..2....0..1..2..2....1..0..1..2....2..2..2..2
%e A233158 ..2..1..2..2....2..2..2..1....2..1..2..1....1..2..2..2....2..2..2..1
%e A233158 ..2..1..2..1....1..2..2..2....0..1..2..2....1..2..2..2....1..2..2..1
%K A233158 nonn
%O A233158 1,1
%A A233158 _R. H. Hardin_, Dec 05 2013