%I #7 Oct 05 2018 12:00:18
%S 2,34,12,152,108,690,744,3232,4516,15592,25724,76914,141516,385622,
%T 762648,1955944,4058152,10001440,21421592,51425362,112496648,
%U 265415854,588810972,1373336224,3075128652,7118096080,16037159652,36935382354
%N Number of (2+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal.
%H R. H. Hardin, <a href="/A232591/b232591.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n2) + 4*a(n3)  3*a(n4)  12*a(n5)  3*a(n6) + 6*a(n7) + 6*a(n8) + 2*a(n9) for n>10.
%F Empirical g.f.: x*(1 + 17*x + x^2  13*x^3  41*x^4 + 4*x^5 + 23*x^6 + 20*x^7 + 2*x^8  x^9) / (1  5*x^2  4*x^3 + 3*x^4 + 12*x^5 + 3*x^6  6*x^7  6*x^8  2*x^9).  _Colin Barker_, Oct 05 2018
%e Some solutions for n=7:
%e ..2..1..0..2..1..0..1..0....0..1..2..0..1..0..1..2....2..1..0..1..2..0..1..2
%e ..2..1..0..2..1..2..1..0....2..0..1..2..1..2..1..0....2..1..2..1..2..0..1..2
%e ..0..2..1..0..1..2..1..2....1..2..1..0..1..0..1..2....0..1..0..1..2..0..1..2
%Y Row 2 of A232589.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 26 2013
