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A217999 T(n,k)=Number of nXk arrays of the minimum or maximum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array 5

%I #4 Oct 17 2012 12:47:19

%S 3,9,9,25,81,25,81,729,729,81,241,6561,19665,6561,241,719,59049,

%T 531143,531143,59049,719,2181,531441,14345273,43046713,14345273,

%U 531441,2181,6543,4782969,387332417,3486751263,3486751263,387332417,4782969,6543

%N T(n,k)=Number of nXk arrays of the minimum or maximum value of corresponding elements and their horizontal and vertical neighbors in a random 0..2 nXk array

%C Table starts

%C .....3........9..........25...........81..........241..........719

%C .....9.......81.........729.........6561........59049.......531441

%C ....25......729.......19665.......531143.....14345273....387332417

%C ....81.....6561......531143.....43046713...3486751263.282429513233

%C ...241....59049....14345273...3486751263.847279307713

%C ...719...531441...387332417.282429513233

%C ..2181..4782969.10458051407

%C ..6543.43046721

%C .19623

%H R. H. Hardin, <a href="/A217999/b217999.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 2 is 9^n, A001019

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 17 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)