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A208255 Number of nX5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.

%I A208255 #7 Jul 22 2025 21:15:07
%S A208255 41,6144,920928,137947632,20662697664,3094987890864,463586569433280,
%T A208255 69438884409258336,10400988693344761104,1557924881981189122032,
%U A208255 233355694295516814615312,34953469637696859885114528
%N A208255 Number of nX5 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.
%C A208255 Column 5 of A208258
%H A208255 R. H. Hardin, <a href="/A208255/b208255.txt">Table of n, a(n) for n = 1..210</a>
%F A208255 Empirical: a(n) = 171*a(n-1) -3370*a(n-2) +29805*a(n-3) -149108*a(n-4) +447784*a(n-5) -778496*a(n-6) +649216*a(n-7) -114688*a(n-8) for n>9
%e A208255 Some solutions for n=4
%e A208255 ..0..0..1..2..0....0..0..0..0..1....0..1..0..2..2....0..0..1..2..2
%e A208255 ..2..1..0..2..1....0..1..0..2..1....2..0..1..2..0....1..1..2..1..2
%e A208255 ..2..1..2..0..1....0..0..2..0..0....1..1..2..1..0....1..2..0..2..0
%e A208255 ..2..0..2..2..2....0..2..0..1..1....1..2..0..2..2....1..0..2..0..1
%K A208255 nonn
%O A208255 1,1
%A A208255 _R. H. Hardin_ Feb 24 2012