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 A210413 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having three or four distinct values, and new values 0..3 introduced in row major order. 9

%I

%S 7,78,78,864,2520,864,9576,80496,80496,9576,106128,2574592,7380816,

%T 2574592,106128,1176192,82334080,677993552,677993552,82334080,1176192,

%U 13035456,2633043200,62266883792,178971208720,62266883792,2633043200

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

%C Table starts

%C .........7............78...............864..................9576

%C ........78..........2520.............80496...............2574592

%C .......864.........80496...........7380816.............677993552

%C ......9576.......2574592.........677993552..........178971208720

%C ....106128......82334080.......62266883792........47230418649056

%C ...1176192....2633043200.....5718722907600.....12464482425454304

%C ..13035456...84204544256...525218223843536...3289463792785895520

%C .144468864.2692856218368.48237041019306960.868112796901730209328

%H R. H. Hardin, <a href="/A210413/b210413.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4, k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 21 2012

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Last modified March 27 20:39 EDT 2023. Contains 361575 sequences. (Running on oeis4.)