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A198485 T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors 4

%I #5 Mar 31 2012 12:36:34

%S 5,193,193,10072,333308,10072,528283,579476701,579476701,528283,

%T 27711478,1007486056500,33408897045776,1007486056500,27711478,

%U 1453628917,1751630302786777,1926147852876420067,1926147852876420067

%N T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to an even number of horizontal and vertical neighbors

%C Table starts

%C ..........5..............193...............10072..............528283

%C ........193...........333308...........579476701.......1007486056500

%C ......10072........579476701......33408897045776.1926147852876420067

%C .....528283....1007486056500.1926147852876420067

%C ...27711478.1751630302786777

%C .1453628917

%H R. H. Hardin, <a href="/A198485/b198485.txt">Table of n, a(n) for n = 1..24</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 25 2011

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)