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%I #4 Jan 03 2015 09:09:07
%S 25165,71333,142679,398710,745281,1744459,3362641,7208222,14186738,
%T 29111786,57621515,115695867,228900596,455068941,899753742,1782776025,
%U 3527257807,6989363364,13852817626,27493383527,54609926099,108599738807
%N Number of (n+1)X(5+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 5 of A253533
%H R. H. Hardin, <a href="/A253530/b253530.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-1) -58*a(n-2) +126*a(n-3) -15*a(n-4) -558*a(n-5) +1166*a(n-6) -324*a(n-7) -2362*a(n-8) +3760*a(n-9) -420*a(n-10) -4940*a(n-11) +5330*a(n-12) +300*a(n-13) -4900*a(n-14) +3568*a(n-15) +459*a(n-16) -2156*a(n-17) +1182*a(n-18) +30*a(n-19) -339*a(n-20) +178*a(n-21) -42*a(n-22) +4*a(n-23) for n>40
%e Some solutions for n=3
%e ..0..0..1..0..1..2....0..0..1..0..1..2....1..0..0..0..1..1....1..1..1..1..2..2
%e ..0..0..1..0..2..2....1..0..1..0..1..0....2..1..1..1..2..2....1..1..1..1..1..1
%e ..0..0..1..0..2..0....2..1..2..1..2..1....1..0..0..0..1..1....1..1..0..0..0..0
%e ..1..0..2..0..2..0....0..0..1..0..2..1....0..0..1..1..2..2....2..2..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2015
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