A183588 - OEIS

%I #5 Mar 31 2012 12:35:52

%S 520,27380,1427084,74491726,3887550226,202888369698,10588548225946,

%T 552606468835138,28840014212057954,1505133360863436226,

%U 78551501834521854626,4099529385937940277538,213950603015925389996738

%N 1/24 the number of (n+1)X4 0..3 arrays with every 2X2 subblock containing exactly three distinct values

%C Column 3 of A183594

%H R. H. Hardin, <a href="/A183588/b183588.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=51*a(n-1)+274*a(n-2)-10688*a(n-3)-31344*a(n-4)+590588*a(n-5)+1621408*a(n-6)-5825824*a(n-7)-7929216*a(n-8)+17443840*a(n-9)+6201344*a(n-10)-11993088*a(n-11)

%e Some solutions with a(1,1)=0 for 3X4

%e ..0..2..0..3....0..1..0..0....0..2..0..0....0..1..2..0....0..2..0..2

%e ..0..3..0..1....0..2..1..3....3..3..2..3....1..3..1..2....1..2..1..1

%e ..3..1..1..3....0..1..0..1....1..0..2..1....0..1..0..1....0..0..2..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2011