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%I #5 Mar 31 2012 12:37:24
%S 3,6,6,12,30,12,24,160,160,24,48,852,2284,852,48,96,4540,32446,32446,
%T 4540,96,192,24192,461280,1228712,461280,24192,192,384,128904,6557958,
%U 46570746,46570746,6557958,128904,384,768,686872,93227592,1765095958
%N T(n,k)=Number of nXk 0..2 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it
%C Table starts
%C ...3......6.........12............24...............48..................96
%C ...6.....30........160...........852.............4540...............24192
%C ..12....160.......2284.........32446...........461280.............6557958
%C ..24....852......32446.......1228712.........46570746..........1765095958
%C ..48...4540.....461280......46570746.......4706484836........475618885520
%C ..96..24192....6557958....1765095958.....475618885520.....128150274103008
%C .192.128904...93227592...66895521620...48061584255222...34526890433183028
%C .384.686872.1325375622.2535385682540.4856847815865546.9302784446983878688
%H R. H. Hardin, <a href="/A208796/b208796.txt">Table of n, a(n) for n = 1..312</a>
%e Some solutions for n=4 k=3
%e ..1..2..0....2..1..0....2..0..1....2..0..1....1..2..0....0..1..0....2..0..1
%e ..2..1..2....0..2..2....0..0..2....0..0..2....0..0..1....2..0..2....0..0..2
%e ..0..2..1....1..0..2....1..0..2....2..0..0....1..2..0....0..0..1....2..0..2
%e ..2..1..1....2..2..2....2..2..1....1..0..1....2..2..1....1..0..0....0..0..1
%Y Column 1 is A003945
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 01 2012
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