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 A203846 T(n,k)=Number of nXk 0..3 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors 8

%I

%S 1,1,1,1,4,1,1,16,16,1,1,50,262,50,1,1,184,2706,2706,184,1,1,810,

%T 28744,84346,28744,810,1,1,3502,362648,2507842,2507842,362648,3502,1,

%U 1,14751,4683983,83049596,215340781,83049596,4683983,14751,1,1,63204,58985474

%N T(n,k)=Number of nXk 0..3 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.....4.......16..........50.............184................810

%C .1....16......262........2706...........28744.............362648

%C .1....50.....2706.......84346.........2507842...........83049596

%C .1...184....28744.....2507842.......215340781........19914461784

%C .1...810...362648....83049596.....19914461784......5191761888989

%C .1..3502..4683983..2828543595...1851737877261...1343321735549790

%C .1.14751.58985474.95696351404.171641650035869.345412651608406381

%H R. H. Hardin, <a href="/A203846/b203846.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=4 k=3

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

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_ Jan 06 2012

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Last modified November 27 16:35 EST 2021. Contains 349394 sequences. (Running on oeis4.)