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A185609 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant 5

%I

%S 0,580,580,2366,11354,2366,22236,172026,172026,22236,118616,3017724,

%T 4473352,3017724,118616,891506,50646550,173403770,173403770,50646550,

%U 891506,5489048,873299900,5539941616,15211806726,5539941616,873299900

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

%C Table starts

%C ........0.........580.........2366.........22236........118616.......891506

%C ......580.......11354.......172026.......3017724......50646550....873299900

%C .....2366......172026......4473352.....173403770....5539941616.195867482580

%C ....22236.....3017724....173403770...15211806726.1112996493332

%C ...118616....50646550...5539941616.1112996493332

%C ...891506...873299900.195867482580

%C ..5489048.14968118872

%C .38326452

%H R. H. Hardin, <a href="/A185609/b185609.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for 4X3

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 31 2011

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Last modified June 26 16:18 EDT 2022. Contains 354885 sequences. (Running on oeis4.)