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A210309 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order 9

%I

%S 0,29,29,414,1091,414,4553,27957,27957,4553,45890,655743,1575467,

%T 655743,45890,446093,14976529,85724987,85724987,14976529,446093,

%U 4266246,339125187,4628067519,11061291451,4628067519,339125187,4266246,40490097

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one or three distinct values, and new values 0..3 introduced in row major order

%C Table starts

%C ........0...........29.............414................4553

%C .......29.........1091...........27957..............655743

%C ......414........27957.........1575467............85724987

%C .....4553.......655743........85724987.........11061291451

%C ....45890.....14976529......4628067519.......1424160340819

%C ...446093....339125187....249417760123.....183304255111499

%C ..4266246...7657326365..13436313660615...23591932615876019

%C .40490097.172736626311.723757498910275.3036344556314579403

%H R. H. Hardin, <a href="/A210309/b210309.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 19 2012

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Last modified September 20 09:44 EDT 2021. Contains 347583 sequences. (Running on oeis4.)