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 A188567 T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally 8

%I #5 Mar 31 2012 12:36:13

%S 2,4,4,7,16,7,13,49,49,13,24,169,247,169,24,44,576,1383,1383,576,44,

%T 81,1936,7722,13306,7722,1936,81,149,6561,42712,127951,127951,42712,

%U 6561,149,274,22201,237116,1204078,2109386,1204078,237116,22201,274,504,75076

%N T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally

%C Table starts

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

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

%C ...7.....49......247.......1383..........7722...........42712

%C ..13....169.....1383......13306........127951.........1204078

%C ..24....576.....7722.....127951.......2109386........33878337

%C ..44...1936....42712....1204078......33878337.......924245906

%C ..81...6561...237116...11433452.....550371695.....25507294349

%C .149..22201..1315783..108485757....8927734479....703601341153

%C .274..75076..7300042.1028265705..144690439154..19385833712450

%C .504.254016.40505756.9752393774.2346488899945.534376376148754

%H R. H. Hardin, <a href="/A188567/b188567.txt">Table of n, a(n) for n = 1..337</a>

%e Some solutions for 5X3

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

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

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

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

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

%Y Column 1 is A000073(n+3)

%Y Column 2 is A085697(n+1)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Apr 04 2011

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Last modified August 13 12:15 EDT 2024. Contains 375139 sequences. (Running on oeis4.)