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A232291 Number of nX4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally.

%I A232291 #6 Jul 23 2025 07:15:42
%S A232291 15,587,20563,718483,25116353,877968487,30690409685,1072818688305,
%T A232291 37501616113029,1310912294899905,45824453004106979,
%U A232291 1601846669127816785,55994400002283842181,1957348909882095004225,68421391333068584221039
%N A232291 Number of nX4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally.
%C A232291 Column 4 of A232295
%H A232291 R. H. Hardin, <a href="/A232291/b232291.txt">Table of n, a(n) for n = 1..210</a>
%F A232291 Empirical: a(n) = 30*a(n-1) +171*a(n-2) +93*a(n-3) -496*a(n-4) -281*a(n-5) +186*a(n-6) +206*a(n-7) -173*a(n-8) +45*a(n-9) -4*a(n-10)
%e A232291 Some solutions for n=3
%e A232291 ..2..2..2..2....2..0..1..2....1..2..2..0....1..2..2..0....2..1..0..2
%e A232291 ..2..2..2..2....2..1..2..2....2..2..1..2....0..1..1..2....0..2..2..1
%e A232291 ..0..1..1..0....0..1..2..1....1..2..1..0....2..1..1..0....1..1..0..2
%K A232291 nonn
%O A232291 1,1
%A A232291 _R. H. Hardin_, Nov 22 2013