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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..1 introduced in row major order
9

%I #5 Mar 31 2012 12:37:05

%S 240,1814,1814,13728,26185,13728,103876,379283,379283,103876,785920,

%T 5487807,10529929,5487807,785920,5946280,79391891,291785631,291785631,

%U 79391891,5946280,44989988,1148637735,8084022743,15472955417,8084022743

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..1 introduced in row major order

%C Table starts

%C .......240.........1814...........13728.............103876...............785920

%C ......1814........26185..........379283............5487807.............79391891

%C .....13728.......379283........10529929..........291785631...........8084022743

%C ....103876......5487807.......291785631........15472955417.........820342090696

%C ....785920.....79391891......8084022743.......820342090696.......83226275730613

%C ...5946280...1148637735....224000986714.....43501020707845.....8445646803772751

%C ..44989988..16618559061...6206887994602...2306771728514169...857047765548288466

%C .340397184.240437007466.171986199003963.122321759466209533.86969981709764397873

%H R. H. Hardin, <a href="/A205264/b205264.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 24 2012