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A204289 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..3 introduced in row major order 5

%I

%S 738,9747,9747,142107,190347,142107,1429921,4225471,4225471,1429921,

%T 17355817,69321821,155571239,69321821,17355817,221925179,1350148902,

%U 3531083953,3531083953,1350148902,221925179,2543715910,27980729421

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

%C Table starts

%C .........738.........9747........142107.......1429921......17355817

%C ........9747.......190347.......4225471......69321821....1350148902

%C ......142107......4225471.....155571239....3531083953..111738717361

%C .....1429921.....69321821....3531083953..103672509054.5112434552746

%C ....17355817...1350148902..111738717361.5112434552746

%C ...221925179..27980729421.3916847292491

%C ..2543715910.524910976410

%C .30734237265

%H R. H. Hardin, <a href="/A204289/b204289.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 13 2012

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Last modified February 25 12:00 EST 2021. Contains 341606 sequences. (Running on oeis4.)