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Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference
1

%I #4 Nov 27 2014 20:51:25

%S 333,4131,51105,633207,7847629,97259475,1205380713,14938857383,

%T 185144548997,2294587257555,28437947447217,352445463031871,

%U 4368029914208605,54135142508612971,670923440009528025

%N Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference

%C Column 2 of A250841

%H R. H. Hardin, <a href="/A250835/b250835.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) -157*a(n-2) +558*a(n-3) -1206*a(n-4) +1488*a(n-5) -112*a(n-6) -2242*a(n-7) +2090*a(n-8) -392*a(n-9) -32*a(n-10)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2014