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 A232925 Number of 6Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally 1

%I

%S 729,1458,23346,235824,2986152,33994188,409408542,4791504648,

%T 56948232390,671408641884,7950212281224,93923210426688,

%U 1110971521842576,13132515793768920,155290791915166218,1835954950424998884

%N Number of 6Xn 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally

%C Row 6 of A232920

%H R. H. Hardin, <a href="/A232925/b232925.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +109*a(n-2) -256*a(n-3) -3152*a(n-4) +4016*a(n-5) +36307*a(n-6) -39164*a(n-7) -200969*a(n-8) +225166*a(n-9) +558858*a(n-10) -666143*a(n-11) -821349*a(n-12) +1028812*a(n-13) +665423*a(n-14) -859266*a(n-15) -301764*a(n-16) +388624*a(n-17) +75683*a(n-18) -91245*a(n-19) -9839*a(n-20) +10158*a(n-21) +486*a(n-22) -420*a(n-23) for n>24

%e Some solutions for n=4

%e ..0..0..1..0....0..1..2..2....0..0..0..1....0..0..0..0....0..1..2..1

%e ..0..0..1..0....2..1..2..1....0..1..0..0....0..0..0..0....2..1..2..2

%e ..0..0..0..0....2..2..2..2....2..1..0..0....1..0..0..0....2..2..2..2

%e ..1..0..1..0....2..2..2..2....0..1..0..1....1..0..0..1....1..2..1..2

%e ..1..0..1..2....2..2..1..2....0..1..0..1....1..0..0..1....1..2..1..2

%e ..1..0..1..0....1..2..1..0....0..0..0..1....1..0..0..0....1..0..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013

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