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%I #4 Jan 03 2015 07:51:51
%S 9623,42476,84684,162815,370028,930046,2475610,6886675,19760474,
%T 57829329,171202242,510066284,1524744975,4565782480,13684014725,
%U 41030420257,123054948304,369101554371,1107190410316,3321358741610,9963671753637
%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically
%C Column 4 of A253524
%H R. H. Hardin, <a href="/A253520/b253520.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11*a(n-1) -51*a(n-2) +131*a(n-3) -205*a(n-4) +201*a(n-5) -121*a(n-6) +41*a(n-7) -6*a(n-8) for n>16
%e Some solutions for n=4
%e ..1..1..0..0..2....0..1..1..1..2....1..2..2..0..2....1..1..0..1..1
%e ..2..1..0..0..1....0..0..0..0..0....2..2..2..0..1....2..1..0..0..0
%e ..2..1..0..0..0....2..2..2..2..2....2..2..2..0..0....2..1..0..0..0
%e ..2..0..0..0..0....2..1..1..1..1....2..2..2..0..0....2..0..0..0..0
%e ..1..0..2..2..2....2..1..2..2..2....1..1..1..0..2....1..0..1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2015
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