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A233255 Number of n X 7 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally 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 A233255 #9 Sep 02 2024 19:39:15
%S A233255 528,1992704,8050180096,32835998056448,134179300927602688,
%T A233255 548491734506604068864,2242238966451009797226496,
%U A233255 9166394920089108387649814528,37472795110784044637628292661248
%N A233255 Number of n X 7 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally 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).
%C A233255 Column 7 of A233256.
%H A233255 R. H. Hardin, <a href="/A233255/b233255.txt">Table of n, a(n) for n = 1..210</a>
%F A233255 Empirical: a(n) = 5504*a(n-1) -6438912*a(n-2) +2774532096*a(n-3) -478351982592*a(n-4) +27831388078080*a(n-5).
%e A233255 Some solutions for n=2
%e A233255 ..0..1..0..1..2..5..2....0..1..0..1..0..2..4....0..1..0..1..2..4..3
%e A233255 ..5..1..3..5..3..4..3....2..4..0..3..1..3..5....3..4..0..4..3..0..2
%Y A233255 Cf. A233256.
%K A233255 nonn
%O A233255 1,1
%A A233255 _R. H. Hardin_, Dec 06 2013