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A186786 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants 3

%I

%S 0,580,580,2366,11354,2366,22236,63504,63504,22236,118616,739334,

%T 696596,739334,118616,891506,8499038,17120960,17120960,8499038,891506,

%U 5489048,97501656,281080458,658080772,281080458,97501656,5489048,38326452

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

%C Table starts

%C .......0......580......2366.....22236....118616.....891506....5489048.38326452

%C .....580....11354.....63504....739334...8499038...97501656.1029483706

%C ....2366....63504....696596..17120960.281080458.5705992444

%C ...22236...739334..17120960.658080772

%C ..118616..8499038.281080458

%C ..891506.97501656

%C .5489048

%H R. H. Hardin, <a href="/A186786/b186786.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for 4X3

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

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

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

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

%Y Column 1 is A185605

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 26 2011

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Last modified May 24 21:08 EDT 2022. Contains 354043 sequences. (Running on oeis4.)