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A207514 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.

%I A207514 #7 Jul 22 2025 20:31:49
%S A207514 2,4,4,6,16,6,9,36,36,9,13,81,72,81,13,18,169,166,166,169,18,25,324,
%T A207514 360,438,360,324,25,34,625,660,1042,1042,660,625,34,46,1156,1292,1992,
%U A207514 2638,1992,1292,1156,46,62,2116,2400,4168,5334,5334,4168,2400,2116,62,83,3844
%N A207514 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 1 vertically.
%C A207514 Table starts
%C A207514 ..2....4....6....9....13....18.....25.....34.....46.....62......83.....111
%C A207514 ..4...16...36...81...169...324....625...1156...2116...3844....6889...12321
%C A207514 ..6...36...72..166...360...660...1292...2400...4396...8096...14580...26346
%C A207514 ..9...81..166..438..1042..1992...4168...8174..15881..30801...58335..111083
%C A207514 .13..169..360.1042..2638..5334..11465..23663..47894..96640..191362..379376
%C A207514 .18..324..660.1992..5334.10340..22960..46826..94601.192192..375592..746568
%C A207514 .25..625.1292.4168.11465.22960..50322.105370.214519.434467..859485.1700263
%C A207514 .34.1156.2400.8174.23663.46826.105370.221672.455400.933158.1848347.3679944
%H A207514 R. H. Hardin, <a href="/A207514/b207514.txt">Table of n, a(n) for n = 1..1151</a>
%e A207514 Some solutions for n=4 k=3
%e A207514 ..0..1..0....1..1..0....0..0..1....0..0..1....0..1..0....0..1..0....1..1..1
%e A207514 ..0..0..1....1..0..0....1..0..0....0..1..0....0..0..1....1..1..1....1..0..1
%e A207514 ..0..1..0....0..1..0....1..0..1....0..0..1....0..1..0....1..0..0....0..1..0
%e A207514 ..0..1..0....1..0..0....0..0..1....0..1..0....0..0..1....0..0..1....0..1..0
%Y A207514 Column 1 is A171861(n+1)
%Y A207514 Column 2 is A207025
%K A207514 nonn,tabl
%O A207514 1,1
%A A207514 _R. H. Hardin_ Feb 18 2012