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

%I #4 Feb 05 2014 06:20:15

%S 1488,12600,108652,974864,8433384,72877504,629104640,5642567936,

%T 48822536832,421991535616,3643475019776,32666380795904,

%U 282702867210240,2444023059595264,21105706476486656,189154485612609536

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

%C Column 3 of A237249

%H R. H. Hardin, <a href="/A237244/b237244.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11576*a(n-4) -33493888*a(n-8) for n>11

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2014