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Number of (n+2)X(4+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically
1

%I #4 Dec 30 2014 17:23:25

%S 976,1536,5280,8904,23936,53128,112864,286888,563680,1423176,2930016,

%T 6871944,15255904,33827528,78045536,171672968,393400928,883617736,

%U 1976015712,4530604552,9969715808,23004361288,50570530144,116107771016

%N Number of (n+2)X(4+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically

%C Column 4 of A253367

%H R. H. Hardin, <a href="/A253363/b253363.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-2) -32*a(n-4) +60*a(n-6) +4*a(n-8) +16*a(n-10) -32*a(n-12) +16*a(n-14) for n>16

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014