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 A210061 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having one, 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 9,51,51,323,646,323,2187,8767,8767,2187,15435,124097,249327,124097,

%T 15435,111659,1800963,7293673,7293673,1800963,111659,819243,26510247,

%U 216648913,438056462,216648913,26510247,819243,6058155,393310267

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays 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 .......9.........51...........323.............2187...............15435

%C ......51........646..........8767...........124097.............1800963

%C .....323.......8767........249327..........7293673...........216648913

%C ....2187.....124097.......7293673........438056462.........26586250017

%C ...15435....1800963.....216648913......26586250017.......3291534980629

%C ..111659...26510247....6488330257....1622061565898.....409244238764475

%C ..819243..393310267..195167694929...99225470062505...50984849090449545

%C .6058155.5860240451.5884233366145.6077972350575098.6357981795575036349

%H R. H. Hardin, <a href="/A210061/b210061.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 16 2012

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Last modified September 27 04:27 EDT 2023. Contains 365672 sequences. (Running on oeis4.)