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 A208392 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors 13

%I

%S 1,2,2,5,14,5,14,117,122,14,41,1017,3042,1094,41,122,8838,76806,79092,

%T 9842,122,365,76806,1937736,5800644,2056392,88574,365,1094,667476,

%U 48890520,424785708,438083928,53466192,797162,1094,3281,5800644

%N T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors

%C Table starts

%C ....1.......2...........5..............14.................41

%C ....2......14.........117............1017...............8838

%C ....5.....122........3042...........76806............1937736

%C ...14....1094.......79092.........5800644..........424785708

%C ...41....9842.....2056392.......438083928........93120350760

%C ..122...88574....53466192.....33085555344.....20413586117376

%C ..365..797162..1390120992...2498731184736...4475009970818208

%C .1094.7174454.36143145792.188712490047552.980999326809336384

%H R. H. Hardin, <a href="/A208392/b208392.txt">Table of n, a(n) for n = 1..301</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A007051(n-1)

%Y Column 2 is A199560(n-1)

%Y Row 1 is A007051(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 25 2012

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Last modified August 12 23:52 EDT 2022. Contains 356077 sequences. (Running on oeis4.)