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A210125 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order 9

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

%S 8,44,44,265,481,265,1702,5587,5587,1702,11369,67585,122093,67585,

%T 11369,77642,836053,2737637,2737637,836053,77642,536581,10466659,

%U 62169169,112952832,62169169,10466659,536581,3731446,131849767,1421103679

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

%C Table starts

%C .......8.........44..........265............1702..............11369

%C ......44........481.........5587...........67585.............836053

%C .....265.......5587.......122093.........2737637...........62169169

%C ....1702......67585......2737637.......112952832.........4697571356

%C ...11369.....836053.....62169169......4697571356.......357147640252

%C ...77642...10466659...1421103679....196165653701.....27242258026525

%C ..536581..131849767..32591746591...8207720539895...2081130274494177

%C .3731446.1666227265.748700150743.343746384294748.159103072099072264

%H R. H. Hardin, <a href="/A210125/b210125.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 17 2012

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Last modified April 25 10:41 EDT 2024. Contains 371967 sequences. (Running on oeis4.)