A236641 - OEIS

%I #5 Jan 29 2014 10:32:21

%S 81,518,3313,21276,136697,877196,5629192,36133600,231937284,

%T 1488661856,9554913968,61329206824,393645872364,2526623890096,

%U 16217224600128,104091133212288,668113886084144,4288315710064800,27524738318704304

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

%C Column 1 of A236645

%H R. H. Hardin, <a href="/A236641/b236641.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 80*a(n-3) +700*a(n-4) +2080*a(n-5) +6404*a(n-6) +8232*a(n-7) -23620*a(n-8) -91392*a(n-9) -276256*a(n-10) -395520*a(n-11) +444720*a(n-12) +1555840*a(n-13) +3134080*a(n-14) +3744128*a(n-15) -6767872*a(n-16) -13191168*a(n-17) -134144*a(n-18) +1472512*a(n-19) +3850240*a(n-20) +15204352*a(n-21) +1310720*a(n-22) -6815744*a(n-23)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 29 2014