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A207785 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically 10

%I #5 Mar 31 2012 12:37:19

%S 2,4,4,6,16,6,9,36,36,9,13,81,98,81,13,18,169,257,253,169,19,25,324,

%T 611,791,621,361,28,34,625,1326,2173,2200,1575,784,41,46,1156,2815,

%U 5241,6766,6418,4000,1681,60,62,2116,5718,12567,17763,22322,19041,10057,3600,88,83

%N T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically

%C Table starts

%C ..2....4.....6.....9.....13.....18......25......34.......46.......62........83

%C ..4...16....36....81....169....324.....625....1156.....2116.....3844......6889

%C ..6...36....98...257....611...1326....2815....5718....11362....22164.....42507

%C ..9...81...253...791...2173...5241...12567...28101....61397...131083....272789

%C .13..169...621..2200...6766..17763...46199..110732...257118...582114...1274558

%C .19..361..1575..6418..22322..65094..185613..486006..1224264..2997835...7098270

%C .28..784..4000.19041..75557.246087..786907.2283773..6379507.17308075..45325727

%C .41.1681.10057.55101.246840.887406.3121285.9855231.29800935.87179997.244806537

%H R. H. Hardin, <a href="/A207785/b207785.txt">Table of n, a(n) for n = 1..511</a>

%e Some solutions for n=4 k=3

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

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

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

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

%Y Column 1 is A000930(n+3)

%Y Column 2 is A207170

%Y Column 3 is A203084(n-2)

%Y Row 1 is A171861(n+1)

%Y Row 2 is A207025

%Y Row 3 is A202371(n-2)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 20 2012

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)