cp's OEIS Frontend

A233178 Number of 5Xn 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 (unlabelled 6-colorings with no clashing color pairs).

%I A233178 #6 Jun 02 2025 08:52:01
%S A233178 236,10496,3497984,808583168,221463445504,56275748519936,
%T A233178 14822434649669632,3838772637371203584,1002338782428226650112,
%U A233178 260695613898360688214016,67932875090988311936761856
%N A233178 Number of 5Xn 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 (unlabelled 6-colorings with no clashing color pairs).
%C A233178 Row 5 of A233174
%H A233178 R. H. Hardin, <a href="/A233178/b233178.txt">Table of n, a(n) for n = 1..210</a>
%F A233178 Empirical: a(n) = 192*a(n-1) +31744*a(n-2) -3178496*a(n-3) -170917888*a(n-4) +13992198144*a(n-5) +99857989632*a(n-6) -17660905521152*a(n-7) +211106232532992*a(n-8) +2533274790395904*a(n-9) -40532396646334464*a(n-10) for n>11
%e A233178 Some solutions for n=2
%e A233178 ..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
%e A233178 ..2..1....2..4....2..1....5..1....5..1....5..4....2..1....0..1....0..1....5..2
%e A233178 ..3..5....2..4....0..4....2..4....0..2....0..4....3..0....0..2....5..4....4..3
%e A233178 ..3..4....2..4....2..1....2..5....5..4....5..2....1..0....4..2....5..1....4..2
%e A233178 ..5..4....3..0....3..1....3..1....2..4....1..2....2..0....1..0....5..1....1..3
%K A233178 nonn
%O A233178 1,1
%A A233178 _R. H. Hardin_, Dec 05 2013