A235567 - OEIS

%I #4 Jan 12 2014 07:09:40

%S 50,250,1120,4670,18606,71710,270016,998834,3646406,13176346,47242048,

%T 168350870,597109486,2110060262,7435237264,26141362890,91751051238,

%U 321596169218,1126053324976,3939647403086,13774810332334,48139938720622

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

%C Column 2 of A235573

%H R. H. Hardin, <a href="/A235567/b235567.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -19*a(n-2) -47*a(n-3) +211*a(n-4) -45*a(n-5) -665*a(n-6) +643*a(n-7) +714*a(n-8) -1200*a(n-9) +16*a(n-10) +640*a(n-11) -256*a(n-12)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 12 2014