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%I #7 Apr 16 2024 21:16:29
%S 1300,16032,16032,196710,328910,196710,2341863,6907192,6907192,
%T 2341863,28256807,135480703,251120928,135480703,28256807,342322560,
%U 2795434368,8198499322,8198499322,2795434368,342322560,4121107117,58695095028
%N T(n,k) = Number of (n+2) X (k+2) 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..2 introduced in row major order.
%C Table starts
%C ........1300.........16032.........196710........2341863.......28256807
%C .......16032........328910........6907192......135480703.....2795434368
%C ......196710.......6907192......251120928.....8198499322...294418611660
%C .....2341863.....135480703.....8198499322...391330634142.22275992948325
%C ....28256807....2795434368...294418611660.22275992948325
%C ...342322560...58695095028.10877410840441
%C ..4121107117.1207470043135
%C .49687384433
%H R. H. Hardin, <a href="/A204945/b204945.txt">Table of n, a(n) for n = 1..40</a>
%e Some solutions for n=3, k=3
%e ..0..1..0..2..2....0..0..1..2..2....0..0..0..0..0....0..1..1..1..0
%e ..0..2..0..1..1....2..2..0..1..0....0..0..1..1..2....1..2..1..2..0
%e ..0..2..2..2..2....1..1..1..0..1....1..1..2..1..2....2..2..2..0..0
%e ..0..1..0..0..1....0..1..1..1..0....2..2..2..1..0....2..1..1..2..0
%e ..1..1..1..2..0....1..0..0..2..1....2..2..1..1..2....0..1..1..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 20 2012