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A210143 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order 9

%I

%S 1,10,10,105,221,105,1018,4349,4349,1018,9157,78063,159327,78063,9157,

%T 77934,1321270,5451164,5451164,1321270,77934,638065,21511540,

%U 178904077,363492269,178904077,21511540,638065,5084818,341220491,5714971168

%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, two or four distinct values, and new values 0..3 introduced in row major order

%C Table starts

%C .......1.........10...........105.............1018................9157

%C ......10........221..........4349............78063.............1321270

%C .....105.......4349........159327..........5451164...........178904077

%C ....1018......78063.......5451164........363492269.........23560950847

%C ....9157....1321270.....178904077......23560950847.......3047709295897

%C ...77934...21511540....5714971168....1499212226898.....389550973002670

%C ..638065..341220491..179321691502...94235638705314...49393019753138539

%C .5084818.5317431003.5559548788474.5875282322245525.6229274408854573641

%H R. H. Hardin, <a href="/A210143/b210143.txt">Table of n, a(n) for n = 1..143</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Mar 17 2012

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Last modified January 20 00:32 EST 2022. Contains 350467 sequences. (Running on oeis4.)