A237236 - OEIS

%I #4 Feb 05 2014 06:05:36

%S 1280,10304,91744,853152,8036672,76825568,738844928,7176050400,

%T 69914628864,686426761312,6746879296128,66745483168480,

%U 660133372477184,6566736980062048,65246176244780416,651787243233111008

%N Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal

%C Column 2 of A237241

%H R. H. Hardin, <a href="/A237236/b237236.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) -91*a(n-2) -3569*a(n-3) +35156*a(n-4) +49666*a(n-5) -1874168*a(n-6) +4352300*a(n-7) +38774384*a(n-8) -177907576*a(n-9) -291750128*a(n-10) +2804232800*a(n-11) -1221147328*a(n-12) -21414085888*a(n-13) +34643343872*a(n-14) +71205959680*a(n-15) -216011419648*a(n-16) -11342790656*a(n-17) +524108857344*a(n-18) -420200841216*a(n-19) -327413137408*a(n-20) +579833167872*a(n-21) -214563815424*a(n-22)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014