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A203346 T(n,k)=Number of nXk 0..4 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors 8

%I #5 Mar 31 2012 12:36:56

%S 1,1,1,1,5,1,1,25,25,1,1,95,635,95,1,1,425,9555,9555,425,1,1,2329,

%T 142167,503409,142167,2329,1,1,12487,2566719,23912553,23912553,

%U 2566719,12487,1,1,64444,48091042,1288066857,3742207236,1288066857,48091042,64444,1,1

%N T(n,k)=Number of nXk 0..4 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors

%C Table starts

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

%C .1.....5........25............95...............425...............2329

%C .1....25.......635..........9555............142167............2566719

%C .1....95......9555........503409..........23912553.........1288066857

%C .1...425....142167......23912553........3742207236.......643689050030

%C .1..2329...2566719....1288066857......643689050030....360171255368417

%C .1.12487..48091042...72606563663...112737045408576.202012748290560363

%C .1.64444.870803077.4048732987777.19611990609779478

%H R. H. Hardin, <a href="/A203346/b203346.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=5 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Dec 31 2011

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)