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%I #4 Jan 31 2014 06:43:02
%S 303,1791,10702,66853,419301,2680296,17221539,111813697,729282012,
%T 4786748055,31528549737,208503506840,1382369251257,9189156815701,
%U 61193561041026,408217953424503,2726599132619631,18232898224831510
%N Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal
%C Column 2 of A236819
%H R. H. Hardin, <a href="/A236813/b236813.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-1) -100*a(n-2) -822*a(n-3) +9025*a(n-4) -6166*a(n-5) -227164*a(n-6) +761691*a(n-7) +2056841*a(n-8) -14904183*a(n-9) +4818303*a(n-10) +131300778*a(n-11) -239600971*a(n-12) -518603618*a(n-13) +1978489660*a(n-14) +49780225*a(n-15) -7775913759*a(n-16) +7725412959*a(n-17) +14487841224*a(n-18) -31018825865*a(n-19) -3698011866*a(n-20) +55220616016*a(n-21) -33860955124*a(n-22) -43168404248*a(n-23) +59680526360*a(n-24) +1187247872*a(n-25) -39820734688*a(n-26) +18284518864*a(n-27) +8552972960*a(n-28) -9006433472*a(n-29) +1006397632*a(n-30) +1171967872*a(n-31) -352288384*a(n-32) -23834624*a(n-33) +14026752*a(n-34)
%e Some solutions for n=4
%e ..1..0..2....2..1..2....2..2..2....0..0..0....0..2..2....0..2..2....0..0..1
%e ..2..0..2....0..0..0....0..0..0....1..2..0....2..1..2....1..0..0....0..2..0
%e ..2..0..2....2..1..2....1..2..0....1..2..0....2..0..1....1..1..2....2..0..1
%e ..0..0..0....1..1..1....1..2..0....0..0..2....1..2..1....2..1..1....0..2..0
%e ..2..2..1....2..2..1....1..2..0....1..2..0....2..0..1....1..1..2....2..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 31 2014
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