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A210267 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having three distinct values, and new values 0..3 introduced in row major order 9

%I

%S 0,29,29,400,1039,400,4298,25901,25901,4298,42520,592969,1409910,

%T 592969,42520,406580,13233079,74289956,74289956,13233079,406580,

%U 3828928,292930403,3885183814,9204003223,3885183814,292930403,3828928,35804264

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

%C Table starts

%C ........0...........29.............400................4298

%C .......29.........1039...........25901..............592969

%C ......400........25901.........1409910............74289956

%C .....4298.......592969........74289956..........9204003223

%C ....42520.....13233079......3885183814.......1137801615818

%C ...406580....292930403....202860601666.....140618780386783

%C ..3828928...6467110597..10588222391490...17377926553935982

%C .35804264.142651105201.552602645281386.2147582662927620895

%H R. H. Hardin, <a href="/A210267/b210267.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 19 2012

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Last modified October 20 18:43 EDT 2021. Contains 348118 sequences. (Running on oeis4.)