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

108, 324, 324, 720, 1296, 720, 1600, 3600, 3600, 1600, 3000, 10000, 12000, 10000, 3000, 5625, 22500, 40000, 40000, 22500, 5625, 9450, 50625, 105000, 160000, 105000, 50625, 9450, 15876, 99225, 275625, 490000, 490000, 275625, 99225, 15876, 24696

Offset: 1

Author

R. H. Hardin Dec 11 2011

Keywords

• nonn
• tabl

Comments

Table starts

...108....324.....720.....1600......3000.......5625.......9450.......15876

...324...1296....3600....10000.....22500......50625......99225......194481

...720...3600...12000....40000....105000.....275625.....617400.....1382976

..1600..10000...40000...160000....490000....1500625....3841600.....9834496

..3000..22500..105000...490000...1715000....6002500...17287200....49787136

..5625..50625..275625..1500625...6002500...24010000...77792400...252047376

..9450..99225..617400..3841600..17287200...77792400..280052640..1008189504

.15876.194481.1382976..9834496..49787136..252047376.1008189504..4032758016

.24696.345744.2765952.22127616.124467840..700131600.3080579040.13554547776

.38416.614656.5531904.49787136.311169600.1944810000.9412880400.45558341136

Examples

			Some solutions for n=4 k=3
..1..1..1..1..1....1..1..1..1..1....1..1..1..1..1....1..1..0..1..0
..1..1..1..1..1....1..0..1..0..1....1..1..1..1..0....1..1..0..0..0
..1..1..1..1..1....0..1..0..1..0....1..1..1..1..1....1..1..0..1..0
..1..1..1..1..0....1..0..1..0..1....1..1..1..1..0....1..1..0..0..0
..0..1..0..1..0....0..1..0..1..0....1..1..0..0..0....0..1..0..1..0
..0..0..0..0..0....1..0..0..0..0....0..0..0..0..0....1..1..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..544