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%I #4 Feb 13 2014 09:50:53
%S 295,1775,10433,65777,413659,2653941,17059551,110537541,717782983,
%T 4679120817,30556330231,199989593763,1310729227831,8603242105963,
%U 56531698121213,371878534270081,2448554048752631,16136308096010383
%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock equal
%C Column 2 of A237809
%H R. H. Hardin, <a href="/A237803/b237803.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) +32*a(n-2) -995*a(n-3) +1203*a(n-4) +30639*a(n-5) -80894*a(n-6) -484821*a(n-7) +1819880*a(n-8) +4094432*a(n-9) -21975137*a(n-10) -15423994*a(n-11) +159646072*a(n-12) -20537582*a(n-13) -731838006*a(n-14) +482636414*a(n-15) +2157585399*a(n-16) -2313673429*a(n-17) -4063269643*a(n-18) +6080908617*a(n-19) +4636945145*a(n-20) -9951312215*a(n-21) -2581453624*a(n-22) +10458352359*a(n-23) -391104242*a(n-24) -7005351042*a(n-25) +1614638448*a(n-26) +2873473052*a(n-27) -1062608408*a(n-28) -658678792*a(n-29) +325725984*a(n-30) +66680608*a(n-31) -46683520*a(n-32) -308864*a(n-33) +2464512*a(n-34) -202240*a(n-35) -15360*a(n-36)
%e Some solutions for n=4
%e ..1..2..1....1..2..1....0..0..2....1..1..0....2..2..2....0..2..0....0..2..2
%e ..1..2..2....0..1..0....2..2..0....2..1..1....0..2..0....1..1..0....0..2..0
%e ..1..2..1....1..2..0....2..0..2....1..1..0....0..2..1....2..2..1....0..2..1
%e ..1..0..1....0..1..0....2..2..2....1..0..1....0..2..0....1..2..1....2..2..0
%e ..2..0..2....2..1..2....2..0..2....1..1..0....2..2..0....0..1..0....0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 13 2014
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