login
T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically
7

%I #5 Mar 31 2012 12:37:17

%S 3,9,9,25,81,25,69,625,625,69,190,4761,12468,4761,190,523,36100,

%T 244134,244134,36100,523,1440,273529,4752484,12218660,4752484,273529,

%U 1440,3965,2073600,92438519,607211313,607211313,92438519,2073600,3965,10918

%N T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically

%C Table starts

%C ....3........9..........25.............69................190

%C ....9.......81.........625...........4761..............36100

%C ...25......625.......12468.........244134............4752484

%C ...69.....4761......244134.......12218660..........607211313

%C ..190....36100.....4752484......607211313........76964941511

%C ..523...273529....92438519....30147535858......9745296760510

%C .1440..2073600..1799496100..1498532240063...1235754047831188

%C .3965.15721225.35036066712.74502855991182.156741953997034318

%H R. H. Hardin, <a href="/A207358/b207358.txt">Table of n, a(n) for n = 1..127</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A206727

%Y Column 2 is A206728

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 17 2012