A237723 - OEIS

%I #4 Feb 12 2014 07:01:35

%S 81,348,1510,6610,28877,125428,545952,2381432,10387640,45202024,

%T 196926732,858105896,3741077036,16288858480,70985020400,309213392896,

%U 1347842152080,5869702992128,25582079644992,111424176258848

%N Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 1 of A237730

%H R. H. Hardin, <a href="/A237723/b237723.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 272*a(n-4) +1668*a(n-6) +172*a(n-8) +16*a(n-10) for n>13

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 12 2014