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A233171 Number of n X 5 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabeled 6-colorings with no clashing color pairs).

%I A233171 #10 Sep 09 2024 15:22:16
%S A233171 36,8576,2469888,736362496,221463445504,66799223701504,
%T A233171 20170789919653888,6093499625887498240,1841146791439003287552,
%U A233171 556341623248212690206720,168115390615337809829953536,50801739257391729644354404352
%N A233171 Number of n X 5 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabeled 6-colorings with no clashing color pairs).
%H A233171 R. H. Hardin, <a href="/A233171/b233171.txt">Table of n, a(n) for n = 1..210</a>
%F A233171 Empirical: a(n) = 480*a(n-1) -60416*a(n-2) +1966080*a(n-3) +22020096*a(n-4) -1845493760*a(n-5) +22548578304*a(n-6) -68719476736*a(n-7)
%e A233171 Some solutions for n=2
%e A233171 ..0..1..2..4..2....0..1..5..2..4....0..1..2..5..3....0..1..2..4..0
%e A233171 ..2..4..2..1..3....5..3..5..3..4....5..4..3..1..3....3..4..5..4..5
%Y A233171 Column 5 of A233174.
%K A233171 nonn
%O A233171 1,1
%A A233171 _R. H. Hardin_, Dec 05 2013