%I #4 Jan 17 2014 15:02:25

%S 144,928,5196,27296,137988,681546,3311312,15908352,75789960,358924192,

%T 1692140136,7951451162,37271897084,174391909248,814845026092,

%U 3803491428248,17740156559908,82696152825954,385325015689600

%N Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

%C Column 3 of A235962

%H R. H. Hardin, <a href="/A235957/b235957.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -a(n-2) -189*a(n-3) +346*a(n-4) +1436*a(n-5) -4035*a(n-6) -4541*a(n-7) +20333*a(n-8) +2377*a(n-9) -52394*a(n-10) +19916*a(n-11) +68520*a(n-12) -46336*a(n-13) -39744*a(n-14) +35328*a(n-15) +7168*a(n-16) -8192*a(n-17)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 17 2014