cp's OEIS Frontend

A202100 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 011 in rows and columns.

%I A202100 #7 Jul 22 2025 16:29:22
%S A202100 108,324,324,720,1296,720,1600,3600,3600,1600,3000,10000,12000,10000,
%T A202100 3000,5625,22500,40000,40000,22500,5625,9450,50625,105000,160000,
%U A202100 105000,50625,9450,15876,99225,275625,490000,490000,275625,99225,15876,24696
%N A202100 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 011 in rows and columns.
%C A202100 Table starts
%C A202100 ...108....324.....720.....1600......3000.......5625.......9450.......15876
%C A202100 ...324...1296....3600....10000.....22500......50625......99225......194481
%C A202100 ...720...3600...12000....40000....105000.....275625.....617400.....1382976
%C A202100 ..1600..10000...40000...160000....490000....1500625....3841600.....9834496
%C A202100 ..3000..22500..105000...490000...1715000....6002500...17287200....49787136
%C A202100 ..5625..50625..275625..1500625...6002500...24010000...77792400...252047376
%C A202100 ..9450..99225..617400..3841600..17287200...77792400..280052640..1008189504
%C A202100 .15876.194481.1382976..9834496..49787136..252047376.1008189504..4032758016
%C A202100 .24696.345744.2765952.22127616.124467840..700131600.3080579040.13554547776
%C A202100 .38416.614656.5531904.49787136.311169600.1944810000.9412880400.45558341136
%H A202100 R. H. Hardin, <a href="/A202100/b202100.txt">Table of n, a(n) for n = 1..544</a>
%e A202100 Some solutions for n=4 k=3
%e A202100 ..1..1..1..1..1....1..1..1..1..1....1..1..1..1..1....1..1..0..1..0
%e A202100 ..1..1..1..1..1....1..0..1..0..1....1..1..1..1..0....1..1..0..0..0
%e A202100 ..1..1..1..1..1....0..1..0..1..0....1..1..1..1..1....1..1..0..1..0
%e A202100 ..1..1..1..1..0....1..0..1..0..1....1..1..1..1..0....1..1..0..0..0
%e A202100 ..0..1..0..1..0....0..1..0..1..0....1..1..0..0..0....0..1..0..1..0
%e A202100 ..0..0..0..0..0....1..0..0..0..0....0..0..0..0..0....1..1..0..0..0
%K A202100 nonn,tabl
%O A202100 1,1
%A A202100 _R. H. Hardin_ Dec 11 2011