%I #4 Jan 03 2015 07:50:32

%S 470,2724,10706,42476,169828,666239,2544290,9487609,34708223,

%T 125073383,445366221,1570787157,5497239465,19116068115,66122139143,

%U 227698505309,781152679575,2671258578159,9109590605625,30991996131693,105221851758701

%N Number of (n+1)X(2+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 2 of A253524

%H R. H. Hardin, <a href="/A253518/b253518.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 14*a(n-1) -81*a(n-2) +248*a(n-3) -419*a(n-4) +338*a(n-5) +17*a(n-6) -264*a(n-7) +196*a(n-8) -48*a(n-9) for n>17

%e Some solutions for n=4

%e ..0..2..0....0..1..2....0..1..2....0..2..2....1..2..0....0..2..0....1..2..1

%e ..2..2..0....0..1..1....2..2..2....0..1..1....0..2..2....0..2..1....2..2..2

%e ..1..2..2....0..1..1....2..2..2....0..1..1....1..2..1....2..2..1....2..2..2

%e ..2..2..2....2..2..2....2..2..2....2..2..2....0..2..2....2..2..1....2..0..0

%e ..2..1..0....0..0..2....2..0..2....2..0..0....2..2..2....1..0..2....2..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2015