A238065 - OEIS

%I #4 Feb 17 2014 11:40:31

%S 256,1644,10700,67056,438768,2752364,17963540,112686608,736140896,

%T 4617797164,30156164612,189170092912,1235514228944,7750383935532,

%U 50617266440500,317522485495440,2073753899516928,13008669849171308

%N Number of (n+1)X(1+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Column 1 of A238072

%H R. H. Hardin, <a href="/A238065/b238065.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 23*a(n-2) +689*a(n-4) +1889*a(n-6) +1784*a(n-8) +512*a(n-10) for n>13

%e Some solutions for n=4

%e ..1..1....3..0....0..0....2..0....1..0....2..1....1..1....1..0....2..0....1..2

%e ..2..1....0..0....1..0....0..0....2..2....2..3....1..2....1..0....1..3....3..2

%e ..2..3....2..1....2..2....1..0....3..2....2..0....1..0....2..0....1..2....3..2

%e ..3..2....1..1....3..2....0..2....3..1....0..2....1..1....2..3....2..2....3..1

%e ..1..2....1..3....1..1....3..3....0..2....1..3....3..3....1..1....0..2....0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 17 2014