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T(n,k)=1/128 the number of (n+2)X(k+2) binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace
10

%I #5 Mar 31 2012 12:36:04

%S 4,22,22,124,164,124,694,1254,1254,694,3892,9604,13662,9604,3892,

%T 21814,73542,148747,148747,73542,21814,122284,563180,1625738,2306566,

%U 1625738,563180,122284,685462,4312662,17735956,35696805,35696805,17735956

%N T(n,k)=1/128 the number of (n+2)X(k+2) binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace

%C Table starts

%C ........4.........22..........124............694.............3892

%C .......22........164.........1254...........9604............73542

%C ......124.......1254........13662.........148747..........1625738

%C ......694.......9604.......148747........2306566.........35696805

%C .....3892......73542......1625738.......35696805........791291609

%C ....21814.....563180.....17735956......552341314......17619474017

%C ...122284....4312662....193660943.....8546141676.....392747944918

%C ...685462...33025492...2113733736...132241750157....8751459810146

%C ..3842404..252901110..23075049417..2046201477768..195057037517168

%C .21538774.1936659260.251881260545.31662104131197.4347061143534861

%H R. H. Hardin, <a href="/A185866/b185866.txt">Table of n, a(n) for n = 1..363</a>

%e Some solutions for 5X4

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 05 2011