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Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally and vertically
2

%I #5 Jan 17 2015 08:07:28

%S 512,3264,19456,114880,660480,3727552,20872192,116568256,649733120,

%T 3617345728,20128173056,111975383232,622846260224,3464240431296,

%U 19267225623552,107157701398720,595968823411712,3314528026816704

%N Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal minimum nondecreasing horizontally and vertically

%C Column 1 of A253863

%H R. H. Hardin, <a href="/A253856/b253856.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -13*a(n-2) -8*a(n-3) +77*a(n-4) -392*a(n-5) +721*a(n-6) -504*a(n-7) +176*a(n-8) +384*a(n-9) -960*a(n-10) +512*a(n-11)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2015