cp's OEIS Frontend

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

%I A188567 #7 Jul 22 2025 11:16:35
%S A188567 2,4,4,7,16,7,13,49,49,13,24,169,247,169,24,44,576,1383,1383,576,44,
%T A188567 81,1936,7722,13306,7722,1936,81,149,6561,42712,127951,127951,42712,
%U A188567 6561,149,274,22201,237116,1204078,2109386,1204078,237116,22201,274,504,75076
%N A188567 T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally.
%C A188567 Table starts
%C A188567 ...2......4........7.........13............24..............44
%C A188567 ...4.....16.......49........169...........576............1936
%C A188567 ...7.....49......247.......1383..........7722...........42712
%C A188567 ..13....169.....1383......13306........127951.........1204078
%C A188567 ..24....576.....7722.....127951.......2109386........33878337
%C A188567 ..44...1936....42712....1204078......33878337.......924245906
%C A188567 ..81...6561...237116...11433452.....550371695.....25507294349
%C A188567 .149..22201..1315783..108485757....8927734479....703601341153
%C A188567 .274..75076..7300042.1028265705..144690439154..19385833712450
%C A188567 .504.254016.40505756.9752393774.2346488899945.534376376148754
%H A188567 R. H. Hardin, <a href="/A188567/b188567.txt">Table of n, a(n) for n = 1..337</a>
%e A188567 Some solutions for 5X3
%e A188567 ..1..1..0....0..0..0....1..0..1....1..1..0....0..0..0....0..1..0....0..0..0
%e A188567 ..1..0..1....0..1..1....0..1..1....1..0..0....0..1..0....1..0..1....0..0..1
%e A188567 ..0..1..1....0..1..0....0..1..0....0..1..0....0..1..0....0..0..1....0..0..1
%e A188567 ..0..0..0....0..0..1....1..0..1....0..0..0....0..0..0....1..0..0....1..1..0
%e A188567 ..0..1..1....1..0..1....0..1..0....1..0..1....0..1..1....0..1..1....1..1..0
%Y A188567 Column 1 is A000073(n+3)
%Y A188567 Column 2 is A085697(n+1)
%K A188567 nonn,tabl
%O A188567 1,1
%A A188567 _R. H. Hardin_ Apr 04 2011