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 A265373 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal, vertical or antidiagonal neighbors and new values introduced sequentially from 0. 5

%I

%S 1,0,1,0,0,1,0,0,1,1,0,0,1,10,1,0,0,1,32,99,1,0,0,1,236,4954,1146,1,0,

%T 0,1,1238,363850,878953,15422,1,0,0,1,7968,25964546,860077644,

%U 192333677,237135,1,0,0,1,49214,2006263350,919241950442,3040856393843,53404173562

%N T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal, vertical or antidiagonal neighbors and new values introduced sequentially from 0.

%C Table starts

%C .1.......0...........0.............0............0..........0............0

%C .1.......0...........0.............0............0..........0............0

%C .1.......1...........1.............1............1..........1............1

%C .1......10..........32...........236.........1238.......7968........49214

%C .1......99........4954........363850.....25964546.2006263350.159927435847

%C .1....1146......878953.....860077644.919241950442

%C .1...15422...192333677.3040856393843

%C .1..237135.53404173562

%C .1.4106680

%C .1

%H R. H. Hardin, <a href="/A265373/b265373.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=4 k=4

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

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

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

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

%Y Column 2 is A190823.

%K nonn,tabl

%O 1,14

%A _R. H. Hardin_, Dec 07 2015

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Last modified January 21 08:23 EST 2022. Contains 350475 sequences. (Running on oeis4.)