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 A197242 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4 7

%I

%S 1,1,1,1,2,1,1,5,5,1,1,8,15,8,1,1,18,46,46,18,1,1,37,156,231,156,37,1,

%T 1,73,507,1221,1221,507,73,1,1,151,1637,6284,10649,6284,1637,151,1,1,

%U 306,5338,32754,89527,89527,32754,5338,306,1,1,621,17401,170928,750414

%N T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4

%C Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 2's

%C Table starts

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

%C .1...2.....5.......8........18..........37............73.............151

%C .1...5....15......46.......156.........507..........1637............5338

%C .1...8....46.....231......1221........6284.........32754..........170928

%C .1..18...156....1221.....10649.......89527........750414.........6315333

%C .1..37...507....6284.....89527.....1209990......16248436.......220537819

%C .1..73..1637...32754....750414....16248436.....352842084......7724652441

%C .1.151..5338..170928...6315333...220537819....7724652441....271939715540

%C .1.306.17401..888997..53202193..2991520965..168523962450...9558380534198

%C .1.621.56648.4628482.448046100.40512793371.3676078979774.336139854722483

%H R. H. Hardin, <a href="/A197242/b197242.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions containing all values 0 to 4 for n=6 k=4

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

%e ..2..2..3..1....0..2..4..2....2..2..2..0....0..2..2..2....0..2..4..2

%e ..0..0..1..0....1..2..2..2....2..4..2..0....0..2..4..2....0..2..2..2

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

%e ..2..4..2..0....1..1..1..3....0..0..1..3....0..1..0..0....0..3..1..0

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

%Y Column 2 is A197211

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Oct 12 2011

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Last modified January 26 13:09 EST 2022. Contains 350598 sequences. (Running on oeis4.)