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

1,1

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

Links

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

Example

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

Crossrefs

Sequence in context: A304377 A202616 A202609 * A202492 A369420 A202093

Adjacent sequences: A202097 A202098 A202099 * A202101 A202102 A202103

Keyword

nonn,tabl

Author

R. H. Hardin Dec 11 2011

Status

approved