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A239538 Number of (4+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.

%I A239538 #6 Jul 23 2025 11:00:30
%S A239538 13,68,1014,11108,131988,1533792,17931608,209295248,2443954640,
%T A239538 28534764096,333172950560,3890104752256,45420709489664,
%U A239538 530330059963392,6192109859155200,72298791884174336,844157402919585408
%N A239538 Number of (4+1)X(n+1) 0..2 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..2 introduced in row major order.
%C A239538 Row 4 of A239537
%H A239538 R. H. Hardin, <a href="/A239538/b239538.txt">Table of n, a(n) for n = 1..210</a>
%F A239538 Empirical: a(n) = 8*a(n-1) +46*a(n-2) -22*a(n-3) -166*a(n-4) +28*a(n-5) +68*a(n-6) +208*a(n-7) -160*a(n-8) -48*a(n-9) +32*a(n-10)
%e A239538 Some solutions for n=4
%e A239538 ..0..1..0..2..1....0..1..0..2..1....0..1..0..0..1....0..1..0..1..0
%e A239538 ..0..1..0..2..1....0..1..0..2..1....0..1..0..0..1....0..1..0..1..0
%e A239538 ..1..0..0..1..2....0..1..2..2..1....0..1..0..0..1....0..2..0..1..2
%e A239538 ..1..0..2..1..2....0..2..2..1..0....2..1..2..2..1....1..2..2..0..2
%e A239538 ..1..0..2..1..2....0..2..2..1..0....2..1..2..2..1....1..2..2..0..2
%K A239538 nonn
%O A239538 1,1
%A A239538 _R. H. Hardin_, Mar 21 2014