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A275567 Number of 4Xn 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

%I A275567 #4 Aug 01 2016 21:29:55
%S A275567 6,216,504,1176,3192,8664,23712,64896,180960,504600,1418100,3985350,
%T A275567 11202990,31492086,88441764,248378136,697381260,1958065350,5498516310,
%U A275567 15440588646,43363859406,121784495766,342029032494,960580887846
%N A275567 Number of 4Xn 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.
%C A275567 Row 4 of A275565.
%H A275567 R. H. Hardin, <a href="/A275567/b275567.txt">Table of n, a(n) for n = 1..210</a>
%F A275567 Empirical: a(n) = 5*a(n-1) -35*a(n-3) +31*a(n-4) +131*a(n-5) -205*a(n-6) -254*a(n-7) +705*a(n-8) -6*a(n-9) -1218*a(n-10) +823*a(n-11) +1150*a(n-12) -1646*a(n-13) -439*a(n-14) +1789*a(n-15) -394*a(n-16) -1015*a(n-17) +499*a(n-18) +285*a(n-19) -205*a(n-20) -46*a(n-21) +51*a(n-22) -6*a(n-24) +a(n-25) for n>28
%e A275567 Some solutions for n=4
%e A275567 ..0..0..1..1. .0..1..2..2. .0..1..1..0. .0..1..2..0. .0..1..1..0
%e A275567 ..0..0..2..2. .1..0..0..1. .2..1..0..0. .1..1..0..2. .2..1..0..0
%e A275567 ..1..1..0..0. .1..2..0..0. .2..2..0..1. .2..0..1..1. .1..2..0..1
%e A275567 ..2..2..0..1. .2..1..1..0. .1..0..2..1. .2..2..1..0. .1..2..2..1
%Y A275567 Cf. A275565.
%K A275567 nonn
%O A275567 1,1
%A A275567 _R. H. Hardin_, Aug 01 2016