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 A222722 T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order 5

%I

%S 1,0,0,0,6,0,6,30,30,6,20,666,1683,666,20,20,6524,88552,88552,6524,20,

%T 70,103378,2807505,12956013,2807505,103378,70,685,1250904,173596622,

%U 1928517786,1928517786,173596622,1250904,685,2808,17976376,5700425842

%N T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order

%C Table starts

%C ....1.........0............0..............6..............20..............20

%C ....0.........6...........30............666............6524..........103378

%C ....0........30.........1683..........88552.........2807505.......173596622

%C ....6.......666........88552.......12956013......1928517786....289452236157

%C ...20......6524......2807505.....1928517786....662075303107.474459483232672

%C ...20....103378....173596622...289452236157.474459483232672

%C ...70...1250904...5700425842.43727219083464

%C ..685..17976376.361481561727

%C .2808.235892592

%C .5370

%H R. H. Hardin, <a href="/A222722/b222722.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A222604

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Mar 03 2013

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Last modified December 8 02:41 EST 2021. Contains 349590 sequences. (Running on oeis4.)