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A208322 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 left-upward diagonal neighbors 8

%I

%S 1,2,2,5,13,5,14,113,113,14,41,982,2852,982,41,122,8534,71956,71956,

%T 8534,122,365,74164,1815496,5269968,1815496,74164,365,1094,644516,

%U 45806048,385979024,385979024,45806048,644516,1094,3281,5601112,1155714080

%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 left-upward diagonal neighbors

%C Table starts

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

%C ....2......13.........113.............982...............8534

%C ....5.....113........2852...........71956............1815496

%C ...14.....982.......71956.........5269968..........385979024

%C ...41....8534.....1815496.......385979024........82063614224

%C ..122...74164....45806048.....28269518640.....17447625342768

%C ..365..644516..1155714080...2070490270512...3709557427849168

%C .1094.5601112.29159359552.151644956050096.788692779445041968

%H R. H. Hardin, <a href="/A208322/b208322.txt">Table of n, a(n) for n = 1..312</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A007051(n-1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Feb 25 2012

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Last modified May 16 05:02 EDT 2022. Contains 353690 sequences. (Running on oeis4.)