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A208047 Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors).

%I A208047 #7 Jun 02 2025 07:42:43
%S A208047 14,128,1356,14976,168096,1897888,21472544,243113056,2753187616,
%T A208047 31181409632,353155643424,3999817236576,45301793546528,
%U A208047 513087070702432,5811214258319904,65817707844947552,745450199930022688
%N A208047 Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors).
%C A208047 Column 5 of A208050
%H A208047 R. H. Hardin, <a href="/A208047/b208047.txt">Table of n, a(n) for n = 1..210</a>
%F A208047 Empirical: a(n) = 22*a(n-1) -177*a(n-2) +832*a(n-3) -2664*a(n-4) +5408*a(n-5) -4544*a(n-6) -7936*a(n-7) +24064*a(n-8) -16384*a(n-9) for n>10
%e A208047 Some solutions for n=4
%e A208047 ..0..1..0..1..2....0..1..0..1..0....0..1..0..1..2....0..1..0..1..0
%e A208047 ..2..3..2..3..0....2..3..2..3..2....3..2..3..0..3....2..3..2..3..1
%e A208047 ..0..1..0..1..2....0..1..0..1..3....1..0..1..2..0....1..0..1..0..2
%e A208047 ..3..2..3..0..3....2..3..2..0..1....2..3..0..1..2....2..3..2..1..0
%K A208047 nonn
%O A208047 1,1
%A A208047 _R. H. Hardin_ Feb 22 2012