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A202601 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 000 in rows and columns 9

%I #5 Mar 31 2012 12:36:49

%S 126,510,510,1968,3150,1968,7722,18160,18160,7722,30114,107510,157952,

%T 107510,30114,117708,629790,1402544,1402544,629790,117708,459690,

%U 3704980,12360432,18741086,12360432,3704980,459690,1795842,21758550,109234112

%N T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 000 in rows and columns

%C Table starts

%C ......126........510.........1968............7722.............30114

%C ......510.......3150........18160..........107510............629790

%C .....1968......18160.......157952.........1402544..........12360432

%C .....7722.....107510......1402544........18741086.........248094210

%C ....30114.....629790.....12360432.......248094210........4938195402

%C ...117708....3704980....109234112......3296516444.......98603761284

%C ...459690...21758550....964348880.....43736102410.....1966507686990

%C ..1795842..127872530...8516820112....580619927134....39237140832414

%C ..7014816..751278240..75206974464...7706084873760...782749612707552

%C .27402198.4414434310.664144023888.102287204459830.15616275975432006

%H R. H. Hardin, <a href="/A202601/b202601.txt">Table of n, a(n) for n = 1..609</a>

%e Some solutions for n=2 k=3

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Dec 21 2011

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Last modified April 24 07:33 EDT 2024. Contains 371922 sequences. (Running on oeis4.)