A236783 - OEIS

%I #4 Jan 31 2014 05:48:50

%S 255,1097,4452,19851,87889,405350,1877803,8891685,42339874,204256129,

%T 989815233,4835576474,23700386333,116758334093,576519616008,

%U 2856054677187,14171463522891,70467204359198,350790297038485

%N Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal

%C Column 2 of A236789

%H R. H. Hardin, <a href="/A236783/b236783.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) -145*a(n-2) -234*a(n-3) +6880*a(n-4) -19940*a(n-5) -92792*a(n-6) +593404*a(n-7) +66753*a(n-8) -7105820*a(n-9) +10259982*a(n-10) +44201366*a(n-11) -120008970*a(n-12) -136396696*a(n-13) +699300702*a(n-14) +46313296*a(n-15) -2478218108*a(n-16) +1244671494*a(n-17) +5661814333*a(n-18) -5050034688*a(n-19) -8465863134*a(n-20) +10417098396*a(n-21) +8197726584*a(n-22) -13227353752*a(n-23) -4935036828*a(n-24) +10838034848*a(n-25) +1645800008*a(n-26) -5758739808*a(n-27) -170986944*a(n-28) +1942394944*a(n-29) -64872256*a(n-30) -395392512*a(n-31) +22059776*a(n-32) +43732480*a(n-33) -1955840*a(n-34) -1996800*a(n-35)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2014