A236895 - OEIS

%I #4 Feb 01 2014 07:55:58

%S 81,339,1426,6545,30727,148966,734805,3679063,18601074,94728601,

%T 484797943,2489729974,12816761181,66088527271,341168095114,

%U 1762603785057,9111229406855,47115466594414,243704127371685,1260784775294295

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

%C Column 1 of A236902

%H R. H. Hardin, <a href="/A236895/b236895.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -187*a(n-3) +343*a(n-4) +1052*a(n-5) -2856*a(n-6) -1872*a(n-7) +8792*a(n-8) -856*a(n-9) -11368*a(n-10) +5024*a(n-11) +4992*a(n-12) -3072*a(n-13)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 01 2014