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A204314 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order 5

%I #5 Mar 31 2012 12:37:01

%S 2064,39669,39669,781827,1867746,781827,15015804,90762504,90762504,

%T 15015804,289666498,4174580535,10954912375,4174580535,289666498,

%U 5600593083,194940928754,1225171069740,1225171069740,194940928754

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..2 introduced in row major order

%C Table starts

%C ..........2064...........39669............781827..........15015804

%C .........39669.........1867746..........90762504........4174580535

%C ........781827........90762504.......10954912375.....1225171069740

%C ......15015804......4174580535.....1225171069740...322734860977140

%C .....289666498....194940928754...140246793660900.87856146496713616

%C ....5600593083...9133561570280.16117050150812392

%C ..108143812341.426401340094121

%C .2088355492268

%H R. H. Hardin, <a href="/A204314/b204314.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 14 2012

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Last modified August 3 20:16 EDT 2024. Contains 374908 sequences. (Running on oeis4.)