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A203091 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns.

%I A203091 #7 Jul 22 2025 17:01:16
%S A203091 98,253,253,621,787,621,1575,2237,2237,1575,4000,6615,7558,6615,4000,
%T A203091 10057,19723,26528,26528,19723,10057,25384,57699,92748,112334,92748,
%U A203091 57699,25384,64140,169561,319956,470807,470807,319956,169561,64140
%N A203091 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns.
%C A203091 Table starts
%C A203091 .....98.....253......621......1575.......4000.......10057.........25384
%C A203091 ....253.....787.....2237......6615......19723.......57699........169561
%C A203091 ....621....2237.....7558.....26528......92748......319956.......1110338
%C A203091 ...1575....6615....26528....112334.....470807.....1946072.......8108104
%C A203091 ...4000...19723....92748....470807....2370796....11699349......58260775
%C A203091 ..10057...57699...319956...1946072...11699349....68989536.....411159715
%C A203091 ..25384..169561..1110338...8108104...58260775...411159715....2942039652
%C A203091 ..64140..500813..3857116..33749405..290231774..2448491999...21001045294
%C A203091 .161819.1473813.13368366.140139039.1440610700.14527671131..149307714269
%C A203091 .408415.4336509.46374172.582872782.7161014248.86335466624.1063928895151
%H A203091 R. H. Hardin, <a href="/A203091/b203091.txt">Table of n, a(n) for n = 1..310</a>
%e A203091 Some solutions for n=3 k=3
%e A203091 ..0..0..1..0..0....1..0..0..1..0....1..0..0..1..1....0..1..1..1..1
%e A203091 ..0..0..1..1..1....0..0..1..1..1....0..1..1..1..0....1..1..1..1..1
%e A203091 ..1..1..1..1..1....0..1..1..1..1....0..1..1..1..0....0..1..1..1..1
%e A203091 ..1..1..1..1..0....1..1..1..1..1....1..1..1..1..1....0..0..1..1..1
%e A203091 ..0..0..1..1..0....0..1..1..1..0....0..1..1..1..0....1..0..0..1..0
%K A203091 nonn,tabl
%O A203091 1,1
%A A203091 _R. H. Hardin_ Dec 29 2011