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Number of (n+1)X(3+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise
1

%I #4 Jan 13 2014 10:50:50

%S 208,2456,28584,330840,3824528,44196144,510685176,5900818062,

%T 68181837738,787815537064,9102909355490,105180650740834,

%U 1215322331681740,14042586259073748,162256730906114932,1874814669334245592

%N Number of (n+1)X(3+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

%C Column 3 of A235679

%H R. H. Hardin, <a href="/A235674/b235674.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -7*a(n-2) -120*a(n-3) +60*a(n-4) +376*a(n-5) -111*a(n-6) -477*a(n-7) +47*a(n-8) +216*a(n-9) +20*a(n-10) -16*a(n-11)

%e Some solutions for n=3

%e ..1..0..1..0....0..1..1..1....1..1..0..1....0..0..1..1....0..1..0..1

%e ..1..0..0..0....0..1..0..1....0..0..1..0....1..0..0..0....1..1..1..0

%e ..0..1..0..1....0..0..1..1....0..1..1..1....1..0..1..1....0..1..0..1

%e ..0..1..1..1....0..0..0..1....1..0..1..0....1..1..0..1....1..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2014