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A196430 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors less than itself 9

%I

%S 1,3,3,5,23,5,11,123,123,11,26,809,1377,809,26,55,5274,27583,27583,

%T 5274,55,119,33923,452252,1436945,452252,33923,119,263,219807,7435275,

%U 67917500,67917500,7435275,219807,263,573,1424725,126914055,3308601959

%N T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors less than itself

%C Table starts

%C ....1........3............5................11..................26

%C ....3.......23..........123...............809................5274

%C ....5......123.........1377.............27583..............452252

%C ...11......809........27583...........1436945............67917500

%C ...26.....5274.......452252..........67917500..........9212529925

%C ...55....33923......7435275........3308601959.......1248257908304

%C ..119...219807....126914055......161187862053.....170481239106658

%C ..263..1424725...2139217341.....7798861912989...23253883615868280

%C ..573..9226721..36014080137...378707068543349.3174860835433669171

%C .1248.59782080.607371115906.18386677122989718

%H R. H. Hardin, <a href="/A196430/b196430.txt">Table of n, a(n) for n = 1..97</a>

%e Some solutions for n=5 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Oct 02 2011

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Last modified October 25 06:30 EDT 2021. Contains 348239 sequences. (Running on oeis4.)