A236705 - OEIS

%I #5 Jan 30 2014 06:08:27

%S 81,442,2464,13720,76404,424600,2361716,13136192,73071732,406402784,

%T 2260476660,12572745216,69931253876,388958563328,2163420804596,

%U 12033035388224,66928590189940,372260237706816,2070535450010484

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

%C Column 1 of A236710

%H R. H. Hardin, <a href="/A236705/b236705.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 34*a(n-3) +413*a(n-4) +974*a(n-5) +4004*a(n-6) +7592*a(n-7) +6608*a(n-8) +7352*a(n-9) -40208*a(n-10) -84960*a(n-11) -91776*a(n-12) -114528*a(n-13) +99776*a(n-14) +231424*a(n-15) +141312*a(n-16) +91136*a(n-17) -16384*a(n-18) -32768*a(n-19)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 30 2014