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A233126 Number of nX5 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabelled 6-colorings with no clashing color pairs).

%I A233126 #6 Jun 02 2025 08:50:56
%S A233126 36,10496,3497984,1189609472,406142844928,138791062863872,
%T A233126 47441169369530368,16217390240149536768,5543904365985920974848,
%U A233126 1895191786824003443752960,647875237241500909514522624
%N A233126 Number of nX5 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabelled 6-colorings with no clashing color pairs).
%C A233126 Column 5 of A233129
%H A233126 R. H. Hardin, <a href="/A233126/b233126.txt">Table of n, a(n) for n = 1..210</a>
%F A233126 Empirical: a(n) = 544*a(n-1) -82944*a(n-2) +5144576*a(n-3) -146800640*a(n-4) +1879048192*a(n-5) -8589934592*a(n-6)
%e A233126 Some solutions for n=2
%e A233126 ..0..1..0..2..5....0..1..0..2..5....0..1..0..2..0....0..1..2..1..2
%e A233126 ..1..0..4..5..2....1..0..2..5..2....2..5..1..0..1....4..2..4..3..4
%K A233126 nonn
%O A233126 1,1
%A A233126 _R. H. Hardin_, Dec 04 2013