A202378 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 111 in rows and columns

98, 257, 257, 611, 824, 611, 1326, 2293, 2293, 1326, 2815, 5677, 7349, 5677, 2815, 5718, 13751, 20247, 20247, 13751, 5718, 11362, 31240, 54611, 62033, 54611, 31240, 11362, 22164, 68965, 136304, 182411, 182411, 136304, 68965, 22164, 42507, 148281

Offset

1,1

Comments

Table starts

....98....257.....611.....1326.....2815......5718......11362......22164

...257....824....2293.....5677....13751.....31240......68965.....148281

...611...2293....7349....20247....54611....136304.....327679.....763588

..1326...5677...20247....62033...182411....494783....1285065....3207444

..2815..13751...54611...182411...589613...1727073....4830102...12936204

..5718..31240..136304...494783..1727073...5444710...16261405...46335444

.11362..68965..327679..1285065..4830102..16261405...51833855..156557263

.22164.148281..763588..3207444.12936204..46335444..156557263..500733797

.42507.310793.1721033..7727120.33205183.126119710..450660848.1517529198

.80633.640839.3799888.18118987.82794590.331945481.1250551900.4427075014

Links

R. H. Hardin, Table of n, a(n) for n = 1..261

Example

Some solutions for n=5 k=3
..0..1..0..1..0....1..1..0..1..0....1..0..1..0..1....1..0..1..0..0
..1..0..1..0..0....1..0..1..0..0....1..1..0..1..0....1..1..0..0..0
..0..1..0..0..0....0..1..0..1..0....0..1..0..1..1....0..1..0..0..0
..1..0..0..0..0....1..1..0..0..0....1..0..0..0..0....1..0..0..0..0
..1..1..0..0..0....0..0..0..0..0....0..1..0..0..0....0..1..0..0..0
..0..1..0..0..0....1..1..0..0..0....0..0..0..0..0....1..1..0..0..0
..0..0..0..0..0....0..1..0..0..0....0..0..0..0..0....1..0..0..0..0

Crossrefs

Sequence in context: A038863 A203091 A203084 * A202371 A195751 A072607

Adjacent sequences: A202375 A202376 A202377 * A202379 A202380 A202381

Keyword

nonn,tabl

Author

R. H. Hardin Dec 18 2011

Status

approved