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A222402 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order 9

%I #4 Feb 18 2013 08:51:10

%S 1,0,0,0,0,0,3,0,0,3,4,9,4,9,4,8,0,35,35,0,8,10,92,0,162,0,92,10,50,0,

%T 624,717,717,624,0,50,66,998,900,8803,4644,8803,900,998,66,216,0,

%U 21634,55761,89582,89582,55761,21634,0,216,280,11136,21224,648643,540642

%N T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order

%C Table starts

%C ....1......0........0..........3.............4..............8.............10

%C ....0......0........0..........9.............0.............92..............0

%C ....0......0........4.........35.............0............624............900

%C ....3......9.......35........162...........717...........8803..........55761

%C ....4......0........0........717..........4644..........89582.........540642

%C ....8.....92......624.......8803.........89582........1732004.......26513524

%C ...10......0......900......55761........540642.......26513524......506779353

%C ...50....998....21634.....648643......19598014......783341025....31162236755

%C ...66......0....21224....4706538.....141703290....16254970624...679517719195

%C ..216..11136...609872...56003424....4688775266...529021504276.54519194910332

%C ..280......0...756664..406023424...35396592602.11643386996598

%C .1120.124864.18326048.4784210119.1198472335971

%H R. H. Hardin, <a href="/A222402/b222402.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,7

%A _R. H. Hardin_ Feb 18 2013

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)