A253365 - OEIS

%I #4 Dec 30 2014 17:24:41

%S 3472,5664,27072,53128,175328,520888,1255456,4289736,9455136,31254904,

%T 73764448,218493128,577738400,1574888312,4449330272,12022817096,

%U 33692526368,94722902008,253587884000,742190201160,1916549546400

%N Number of (n+2)X(6+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically

%C Column 6 of A253367

%H R. H. Hardin, <a href="/A253365/b253365.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-2) -110*a(n-4) +432*a(n-6) -809*a(n-8) +2032*a(n-10) -4696*a(n-12) +4432*a(n-14) -2272*a(n-16) -1952*a(n-18) -224*a(n-20) +320*a(n-22) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014