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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.

%I A181224 #5 Jul 22 2025 08:37:04
%S A181224 2,4,4,7,16,7,13,49,49,13,24,169,230,169,24,44,576,1209,1209,576,44,
%T A181224 81,1936,6475,10732,6475,1936,81,149,6561,34020,97764,97764,34020,
%U A181224 6561,149,274,22201,179097,845531,1495392,845531,179097,22201,274,504,75076
%N A181224 T(n,k)=Number of nXk binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally.
%C A181224 Table starts
%C A181224 ...2......4........7.........13............24..............44................81
%C A181224 ...4.....16.......49........169...........576............1936..............6561
%C A181224 ...7.....49......230.......1209..........6475...........34020............179097
%C A181224 ..13....169.....1209......10732.........97764..........845531...........7426986
%C A181224 ..24....576.....6475......97764.......1495392........21513936.........316896477
%C A181224 ..44...1936....34020.....845531......21513936.......507962194.......12297765846
%C A181224 ..81...6561...179097....7426986.....316896477.....12297765846......493466099722
%C A181224 .149..22201...944514...65480503....4672517426....298705742479....19886730240632
%C A181224 .274..75076..4978956..574725752...68571093673...7214603356059...794878208506289
%C A181224 .504.254016.26241679.5050028956.1008146803248.174532135006271.31852650059853831
%H A181224 R. H. Hardin, <a href="/A181224/b181224.txt">Table of n, a(n) for n=1..241</a>
%e A181224 Some avoided solutions for 4X4
%e A181224 ..0..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A181224 ..0..0..0..1....1..0..1..0....0..0..0..1....1..1..0..0....0..1..0..0
%e A181224 ..0..0..0..0....0..1..0..0....1..1..1..0....0..1..0..0....0..0..0..0
%e A181224 ..0..0..0..0....0..0..1..0....0..0..0..0....0..1..0..0....0..1..1..1
%Y A181224 Column 1 is A000073
%Y A181224 Column 2 is A085697
%K A181224 nonn,tabl
%O A181224 1,1
%A A181224 _R. H. Hardin_ Oct 10 2010