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A204351 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order 9

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

%S 9672,540324,540324,30378276,109655775,30378276,1708802980,

%T 22275534255,22275534255,1708802980,96125591660,4524628081600,

%U 16256855591536,4524628081600,96125591660,5407387617220,919046909794048

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Table starts

%C ..............9672.................540324.....................30378276

%C ............540324..............109655775..................22275534255

%C ..........30378276............22275534255...............16256855591536

%C ........1708802980..........4524628081600............11860456910608960

%C .......96125591660........919046909794048..........8653701637919899728

%C .....5407387617220.....186677705463298720.......6313899655904879255175

%C ...304183813284988...37918176847270068655....4606746353051274080442020

%C .17111367047366980.7701980533069758424335.3361172935168170742873724992

%H R. H. Hardin, <a href="/A204351/b204351.txt">Table of n, a(n) for n = 1..71</a>

%e Some solutions for n=3 k=3

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

%e ..0..1..0..0..2....0..2..2..1..0....2..2..0..1..3....0..0..0..0..0

%e ..2..3..1..2..3....3..1..0..1..0....1..3..2..2..1....1..2..2..3..1

%e ..1..3..3..2..0....0..0..1..2..0....3..2..2..3..2....0..1..0..3..3

%e ..1..0..3..0..1....3..3..0..2..0....3..3..1..1..2....3..3..2..3..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 14 2012

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Last modified July 21 23:34 EDT 2024. Contains 374478 sequences. (Running on oeis4.)