A236195 - OEIS

%I #5 Jan 20 2014 06:13:32

%S 256,2936,33546,384948,4420718,50726030,582030405,6678887600,

%T 76642036820,879474040300,10092031952668,115807070813932,

%U 1328898059131964,15249237689151180,174986508843501112,2007987538568156456

%N Number of (n+1)X(1+1) 0..3 arrays colored with the upper median plus the lower median minus the minimum of every 2X2 subblock

%C Column 1 of A236198

%H R. H. Hardin, <a href="/A236195/b236195.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 516*a(n-3) +5816*a(n-4) +37532*a(n-5) +231596*a(n-6) +764844*a(n-7) +1715376*a(n-8) -1357168*a(n-9) -42745276*a(n-10) -153767280*a(n-11) -431875072*a(n-12) -123659920*a(n-13) +4702191392*a(n-14) +13369236960*a(n-15) +30583728704*a(n-16) -22184540032*a(n-17) -348606397056*a(n-18) -483527063936*a(n-19) -291912627712*a(n-20) +2672313523200*a(n-21) +11142083325952*a(n-22) -2353571336192*a(n-23) -31652816760832*a(n-24) -26874924023808*a(n-25) -23414934798336*a(n-26) +107538205343744*a(n-27) +223851631214592*a(n-28) -56862073290752*a(n-29) -323549784440832*a(n-30) -438679066640384*a(n-31) +148077605289984*a(n-32) +877231452717056*a(n-33) +45733914869760*a(n-34) -544117377466368*a(n-35) -99794924077056*a(n-36) +119313184849920*a(n-37)

%e Some solutions for n=3

%e ..2..1....0..2....0..2....2..2....3..2....1..2....3..0....0..1....2..2....2..2

%e ..3..0....3..1....1..3....0..1....3..3....3..0....2..1....3..0....2..2....3..0

%e ..1..3....2..3....3..2....1..0....3..3....3..3....3..3....1..3....3..3....2..1

%e ..0..1....1..0....0..3....1..3....2..0....2..0....2..2....1..2....3..0....0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2014