A236199 - OEIS

%I #5 Jan 20 2014 08:15:17

%S 256,3020,35874,427680,5098640,60725856,723344402,8617376624,

%T 102659701914,1222955615632,14568798764580,173556031634952,

%U 2067546134560766,24630307231347920,293416564842646058

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

%C Column 1 of A236202

%H R. H. Hardin, <a href="/A236199/b236199.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +19*a(n-2) +483*a(n-3) +6515*a(n-4) +30487*a(n-5) +130534*a(n-6) +268052*a(n-7) -1853784*a(n-8) -10798260*a(n-9) -40876008*a(n-10) -100945632*a(n-11) +217780976*a(n-12) +1450894176*a(n-13) +3234709632*a(n-14) +5425161856*a(n-15) -12402266368*a(n-16) -67991835648*a(n-17) -74628667392*a(n-18) -3822813184*a(n-19) +259752861696*a(n-20) +812620038144*a(n-21) +144847536128*a(n-22) -1801215803392*a(n-23) -1109966979072*a(n-24) +1391295725568*a(n-25) +1079802593280*a(n-26) -338379669504*a(n-27) -293534171136*a(n-28)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2014