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A233199 Number of nX5 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs).

%I A233199 #6 Jun 02 2025 08:52:22
%S A233199 48,8256,2779136,981532672,352524959744,127365174788096,
%T A233199 46111939268444160,16706602064729341952,6054323596680792899584,
%U A233199 2194196637563524913037312,795235812066308877870694400
%N A233199 Number of nX5 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs).
%C A233199 Column 5 of A233202
%H A233199 R. H. Hardin, <a href="/A233199/b233199.txt">Table of n, a(n) for n = 1..210</a>
%F A233199 Empirical: a(n) = 736*a(n-1) -203776*a(n-2) +33062912*a(n-3) -3665821696*a(n-4) +270851375104*a(n-5) -10685878632448*a(n-6) -116548232544256*a(n-7) +35184372088832000*a(n-8) -1423137482249076736*a(n-9) +18446744073709551616*a(n-10) for n>11
%e A233199 Some solutions for n=2
%e A233199 ..0..1..2..3..0....0..1..2..1..3....0..1..2..3..5....0..1..2..0..3
%e A233199 ..5..3..0..5..4....4..0..3..0..1....3..7..1..0..1....4..0..3..6..2
%K A233199 nonn
%O A233199 1,1
%A A233199 _R. H. Hardin_, Dec 05 2013