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Number of (n+1)X(2+1) 0..2 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock
1

%I #4 Jan 18 2014 20:19:34

%S 360,1784,8506,41344,200906,983796,4815318,23498914,114724352,

%T 560870566,2740746646,13385913760,65395196768,319541819810,

%U 1561151244530,7626667014534,37261178721560,182048049114668,889406662186434

%N Number of (n+1)X(2+1) 0..2 arrays colored with the difference of the upper median and the minimum in each 2X2 subblock

%C Column 2 of A236065

%H R. H. Hardin, <a href="/A236059/b236059.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 49*a(n-3) +236*a(n-4) +426*a(n-5) +654*a(n-6) -1133*a(n-7) -5246*a(n-8) -4754*a(n-9) +1867*a(n-10) +17569*a(n-11) -2570*a(n-12) -38230*a(n-13) +38724*a(n-14) +27309*a(n-15) -54534*a(n-16) +44390*a(n-17) +26998*a(n-18) -51374*a(n-19) -28145*a(n-20) -36975*a(n-21) +7568*a(n-22) +67771*a(n-23) +42787*a(n-24) -5128*a(n-25) -24789*a(n-26) -15360*a(n-27) -3*a(n-28) +2726*a(n-29) +348*a(n-30) -160*a(n-31) -32*a(n-32) for n>35

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2014