A236869 - OEIS

%I #6 Feb 01 2014 07:20:48

%S 287,1503,8117,46023,260957,1502355,8629071,49869905,287699673,

%T 1664594799,9620992479,55692720253,322213277593,1865831191989,

%U 10802023011287,62571905494881,362440288046191,2100199051687835

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

%C Column 2 of A236875

%H R. H. Hardin, <a href="/A236869/b236869.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -53*a(n-2) -861*a(n-3) +5994*a(n-4) +8378*a(n-5) -171443*a(n-6) +217564*a(n-7) +2248566*a(n-8) -6318196*a(n-9) -14387480*a(n-10) +70781836*a(n-11) +27546487*a(n-12) -442719094*a(n-13) +222432397*a(n-14) +1682236000*a(n-15) -1852244993*a(n-16) -3906324240*a(n-17) +6571952825*a(n-18) +5149052575*a(n-19) -13516632533*a(n-20) -2596394214*a(n-21) +17089934474*a(n-22) -2269172690*a(n-23) -13345269664*a(n-24) +4414344468*a(n-25) +6340102352*a(n-26) -2938960424*a(n-27) -1781618752*a(n-28) +1013753840*a(n-29) +278602304*a(n-30) -190307328*a(n-31) -20951424*a(n-32) +18611712*a(n-33) +456704*a(n-34) -837632*a(n-35) +10240*a(n-36) +12288*a(n-37)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2014