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%I #4 Jan 03 2015 09:08:26
%S 7253,27070,62237,182493,398710,949158,2008246,4342893,8951319,
%T 18483480,37447005,75653443,151756020,303701337,606456423,1209715276,
%U 2412487047,4810079658,9594345755,19140473863,38203883340,76274256635,152344233515
%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically
%C Column 4 of A253533
%H R. H. Hardin, <a href="/A253529/b253529.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -13*a(n-2) -19*a(n-3) +95*a(n-4) -59*a(n-5) -197*a(n-6) +313*a(n-7) +89*a(n-8) -505*a(n-9) +221*a(n-10) +343*a(n-11) -347*a(n-12) -41*a(n-13) +185*a(n-14) -61*a(n-15) -28*a(n-16) +22*a(n-17) -4*a(n-18) for n>31
%e Some solutions for n=4
%e ..2..1..1..1..2....1..1..1..0..2....1..0..0..1..1....1..1..1..2..2
%e ..1..1..0..0..1....0..1..1..0..2....1..1..0..2..0....2..1..0..2..0
%e ..2..2..1..1..2....1..2..1..0..2....2..2..0..2..0....2..1..0..2..0
%e ..1..1..0..0..0....1..2..1..0..2....1..2..0..2..0....2..1..0..2..0
%e ..2..2..1..2..1....1..2..1..0..2....1..2..0..2..0....1..1..0..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2015
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