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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.

%I A207785 #7 Jul 22 2025 20:50:41
%S A207785 2,4,4,6,16,6,9,36,36,9,13,81,98,81,13,18,169,257,253,169,19,25,324,
%T A207785 611,791,621,361,28,34,625,1326,2173,2200,1575,784,41,46,1156,2815,
%U A207785 5241,6766,6418,4000,1681,60,62,2116,5718,12567,17763,22322,19041,10057,3600,88,83
%N 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.
%C A207785 Table starts
%C A207785 ..2....4.....6.....9.....13.....18......25......34.......46.......62........83
%C A207785 ..4...16....36....81....169....324.....625....1156.....2116.....3844......6889
%C A207785 ..6...36....98...257....611...1326....2815....5718....11362....22164.....42507
%C A207785 ..9...81...253...791...2173...5241...12567...28101....61397...131083....272789
%C A207785 .13..169...621..2200...6766..17763...46199..110732...257118...582114...1274558
%C A207785 .19..361..1575..6418..22322..65094..185613..486006..1224264..2997835...7098270
%C A207785 .28..784..4000.19041..75557.246087..786907.2283773..6379507.17308075..45325727
%C A207785 .41.1681.10057.55101.246840.887406.3121285.9855231.29800935.87179997.244806537
%H A207785 R. H. Hardin, <a href="/A207785/b207785.txt">Table of n, a(n) for n = 1..511</a>
%e A207785 Some solutions for n=4 k=3
%e A207785 ..1..1..0....1..1..1....1..1..1....1..1..0....1..0..0....0..0..1....0..0..1
%e A207785 ..0..0..1....1..1..1....1..1..0....0..0..1....1..0..1....0..0..1....0..1..0
%e A207785 ..0..0..1....0..1..0....1..0..0....0..0..1....1..1..1....1..1..1....1..0..0
%e A207785 ..1..1..0....0..1..0....1..0..1....1..1..1....1..0..1....1..0..0....1..0..1
%Y A207785 Column 1 is A000930(n+3)
%Y A207785 Column 2 is A207170
%Y A207785 Column 3 is A203084(n-2)
%Y A207785 Row 1 is A171861(n+1)
%Y A207785 Row 2 is A207025
%Y A207785 Row 3 is A202371(n-2)
%K A207785 nonn,tabl
%O A207785 1,1
%A A207785 _R. H. Hardin_ Feb 20 2012