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A181224 T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally 7

%I #3 Mar 31 2012 12:35:49

%S 2,4,4,7,16,7,13,49,49,13,24,169,230,169,24,44,576,1209,1209,576,44,

%T 81,1936,6475,10732,6475,1936,81,149,6561,34020,97764,97764,34020,

%U 6561,149,274,22201,179097,845531,1495392,845531,179097,22201,274,504,75076

%N T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally

%C Table starts

%C ...2......4........7.........13............24..............44................81

%C ...4.....16.......49........169...........576............1936..............6561

%C ...7.....49......230.......1209..........6475...........34020............179097

%C ..13....169.....1209......10732.........97764..........845531...........7426986

%C ..24....576.....6475......97764.......1495392........21513936.........316896477

%C ..44...1936....34020.....845531......21513936.......507962194.......12297765846

%C ..81...6561...179097....7426986.....316896477.....12297765846......493466099722

%C .149..22201...944514...65480503....4672517426....298705742479....19886730240632

%C .274..75076..4978956..574725752...68571093673...7214603356059...794878208506289

%C .504.254016.26241679.5050028956.1008146803248.174532135006271.31852650059853831

%H R. H. Hardin, <a href="/A181224/b181224.txt">Table of n, a(n) for n=1..241</a>

%e Some avoided solutions for 4X4

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

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

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

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

%Y Column 1 is A000073

%Y Column 2 is A085697

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Oct 10 2010

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Last modified July 15 23:38 EDT 2024. Contains 374343 sequences. (Running on oeis4.)