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A202378 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 111 in rows and columns 9

%I #5 Mar 31 2012 12:36:47

%S 98,257,257,611,824,611,1326,2293,2293,1326,2815,5677,7349,5677,2815,

%T 5718,13751,20247,20247,13751,5718,11362,31240,54611,62033,54611,

%U 31240,11362,22164,68965,136304,182411,182411,136304,68965,22164,42507,148281

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

%C Table starts

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

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

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

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

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

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

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

%C .22164.148281..763588..3207444.12936204..46335444..156557263..500733797

%C .42507.310793.1721033..7727120.33205183.126119710..450660848.1517529198

%C .80633.640839.3799888.18118987.82794590.331945481.1250551900.4427075014

%H R. H. Hardin, <a href="/A202378/b202378.txt">Table of n, a(n) for n = 1..261</a>

%e Some solutions for n=5 k=3

%e ..0..1..0..1..0....1..1..0..1..0....1..0..1..0..1....1..0..1..0..0

%e ..1..0..1..0..0....1..0..1..0..0....1..1..0..1..0....1..1..0..0..0

%e ..0..1..0..0..0....0..1..0..1..0....0..1..0..1..1....0..1..0..0..0

%e ..1..0..0..0..0....1..1..0..0..0....1..0..0..0..0....1..0..0..0..0

%e ..1..1..0..0..0....0..0..0..0..0....0..1..0..0..0....0..1..0..0..0

%e ..0..1..0..0..0....1..1..0..0..0....0..0..0..0..0....1..1..0..0..0

%e ..0..0..0..0..0....0..1..0..0..0....0..0..0..0..0....1..0..0..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Dec 18 2011

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Last modified May 3 19:22 EDT 2024. Contains 372222 sequences. (Running on oeis4.)