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

%I #5 Feb 05 2014 05:27:48

%S 256,1076,4770,22420,107092,523218,2580120,12870804,64634026,

%T 326922108,1661903764,8491149474,43548443400,224187558716,

%U 1157390767538,5992234819668,31088874374020,161649774718450,841795869921768

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

%C Column 1 of A237218

%H R. H. Hardin, <a href="/A237212/b237212.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) +9*a(n-2) -935*a(n-3) +2584*a(n-4) +23459*a(n-5) -105654*a(n-6) -285952*a(n-7) +1921192*a(n-8) +1588348*a(n-9) -20149416*a(n-10) +685072*a(n-11) +132759648*a(n-12) -66518688*a(n-13) -567564352*a(n-14) +438496896*a(n-15) +1584509184*a(n-16) -1476106752*a(n-17) -2857446400*a(n-18) +2915932160*a(n-19) +3232051200*a(n-20) -3441262592*a(n-21) -2161868800*a(n-22) +2339045376*a(n-23) +759037952*a(n-24) -824180736*a(n-25) -103809024*a(n-26) +113246208*a(n-27)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014