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A206883 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

%I A206883 #7 Jul 22 2025 19:46:24
%S A206883 2,4,4,7,16,7,12,49,49,12,21,144,230,144,21,37,441,1011,1011,441,37,
%T A206883 65,1369,4705,6478,4705,1369,65,114,4225,22412,44879,44879,22412,4225,
%U A206883 114,200,12996,105936,321393,472412,321393,105936,12996,200,351,40000,497727
%N A206883 T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.
%C A206883 Table starts
%C A206883 ...2.....4......7.......12........21..........37...........65............114
%C A206883 ...4....16.....49......144.......441........1369.........4225..........12996
%C A206883 ...7....49....230.....1011......4705.......22412.......105936.........497727
%C A206883 ..12...144...1011.....6478.....44879......321393......2276625.......15986104
%C A206883 ..21...441...4705....44879....472412.....5179587.....56006452......599130203
%C A206883 ..37..1369..22412...321393...5179587....87541530...1455584860....23905464739
%C A206883 ..65..4225.105936..2276625..56006452..1455584860..37121455086...933389392995
%C A206883 .114.12996.497727.15986104.599130203.23905464739.933389392995.35861331864570
%H A206883 R. H. Hardin, <a href="/A206883/b206883.txt">Table of n, a(n) for n = 1..364</a>
%e A206883 Some solutions for n=4 k=3
%e A206883 ..0..0..1....0..1..1....1..0..0....0..0..1....1..0..1....0..1..1....1..1..1
%e A206883 ..0..0..0....1..1..0....0..0..0....0..1..1....0..1..1....0..0..1....1..0..1
%e A206883 ..1..1..0....0..0..0....0..1..1....0..1..1....0..0..1....0..0..1....0..0..1
%e A206883 ..0..1..1....0..0..1....1..1..0....0..1..1....1..0..0....0..0..1....0..1..1
%Y A206883 Column 1 is A005251(n+3)
%Y A206883 Column 2 is A188501
%K A206883 nonn,tabl
%O A206883 1,1
%A A206883 _R. H. Hardin_ Feb 13 2012