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A203057 T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor 9

%I

%S 1,6,6,36,286,36,161,7820,7820,161,636,177290,1055370,177290,636,2507,

%T 4078368,125838722,125838722,4078368,2507,10213,96511488,15517802234,

%U 78243755382,15517802234,96511488,10213,42182,2282090278,1938869645102

%N T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

%C Table starts

%C .....1...........6................36.....................161

%C .....6.........286..............7820..................177290

%C ....36........7820...........1055370...............125838722

%C ...161......177290.........125838722.............78243755382

%C ...636.....4078368.......15517802234..........50221974160730

%C ..2507....96511488.....1938869645102.......32577032228308750

%C .10213..2282090278...241217648933826....21056749683696452598

%C .42182.53729637298.29971627049343224.13600371239866122117034

%H R. H. Hardin, <a href="/A203057/b203057.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=5 k=3

%e ..2..2..5....1..5..2....3..1..4....4..3..2....4..0..4....1..5..0....3..3..2

%e ..4..1..5....2..5..2....5..2..4....4..0..3....4..4..5....0..5..2....3..3..3

%e ..4..2..3....5..3..4....5..3..0....3..0..3....4..1..5....3..4..3....0..4..1

%e ..4..3..1....5..0..5....3..1..1....3..0..4....2..0..2....1..0..3....3..4..4

%e ..2..3..2....0..0..5....5..5..4....3..5..5....0..3..3....5..5..0....0..5..5

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Dec 28 2011

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Last modified September 22 16:33 EDT 2020. Contains 337291 sequences. (Running on oeis4.)