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A188747 T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.

%I A188747 #7 Jul 22 2025 11:20:31
%S A188747 2,4,4,8,16,7,16,64,49,13,32,256,292,169,24,64,1024,1723,1651,576,44,
%T A188747 128,4096,10327,17286,9504,1936,81,256,16384,61996,184411,176002,
%U A188747 52072,6561,149,512,65536,371641,1944586,3283906,1605680,289776,22201,274,1024
%N A188747 T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.
%C A188747 Table starts
%C A188747 ...2......4........8..........16............32..............64
%C A188747 ...4.....16.......64.........256..........1024............4096
%C A188747 ...7.....49......292........1723.........10327...........61996
%C A188747 ..13....169.....1651.......17286........184411.........1944586
%C A188747 ..24....576.....9504......176002.......3283906........60714322
%C A188747 ..44...1936....52072.....1605680......50067824......1536573216
%C A188747 ..81...6561...289776....15398676.....828466161.....43558358008
%C A188747 .149..22201..1617326...148041805...13666030547...1229158478968
%C A188747 .274..75076..8992115..1404107414..221062541460..33715030639152
%C A188747 .504.254016.50039730.13398153644.3615827505717.940176798492406
%H A188747 R. H. Hardin, <a href="/A188747/b188747.txt">Table of n, a(n) for n = 1..243</a>
%e A188747 Some solutions for 5X3
%e A188747 ..0..1..1....1..0..1....1..0..0....1..1..0....0..0..0....0..1..0....1..1..1
%e A188747 ..1..0..0....0..0..0....0..0..0....1..0..1....1..0..0....0..0..0....0..0..1
%e A188747 ..1..0..0....0..0..1....1..1..0....0..0..0....0..0..0....1..0..0....0..0..0
%e A188747 ..0..0..0....1..1..0....0..0..0....1..1..0....0..0..1....0..0..1....0..1..1
%e A188747 ..1..0..1....0..1..0....0..1..0....0..1..1....1..0..0....1..1..1....1..0..0
%Y A188747 Column 1 is A000073(n+3)
%Y A188747 Column 2 is A085697(n+1)
%K A188747 nonn,tabl
%O A188747 1,1
%A A188747 _R. H. Hardin_ Apr 09 2011