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A208555 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208555 #7 Jul 24 2025 19:38:34
%S A208555 2,4,4,6,16,6,10,36,36,9,16,100,90,81,12,26,256,330,225,144,16,42,676,
%T A208555 1008,1089,420,256,20,68,1764,3354,3969,2508,784,400,25,110,4624,
%U A208555 10710,16641,10080,5776,1260,625,30,178,12100,34884,65025,50052,25600,11020
%N A208555 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208555 Table starts
%C A208555 ..2...4....6....10.....16.....26......42.......68.......110........178
%C A208555 ..4..16...36...100....256....676....1764.....4624.....12100......31684
%C A208555 ..6..36...90...330...1008...3354...10710....34884....112530.....364722
%C A208555 ..9..81..225..1089...3969..16641...65025...263169...1046529....4198401
%C A208555 .12.144..420..2508..10080..50052..221340..1042416...4742628...21989868
%C A208555 .16.256..784..5776..25600.150544..753424..4129024..21492496..115175824
%C A208555 .20.400.1260.11020..52000.351140.1913940.11836400..67894220..407225740
%C A208555 .25.625.2025.21025.105625.819025.4862025.33930625.214476025.1439823025
%H A208555 R. H. Hardin, <a href="/A208555/b208555.txt">Table of n, a(n) for n = 1..2132</a>
%e A208555 Some solutions for n=4 k=3
%e A208555 ..1..1..0....1..1..0....1..1..0....1..1..1....1..0..1....1..0..1....0..1..1
%e A208555 ..1..0..0....0..1..0....0..1..0....1..1..0....0..1..0....1..0..1....0..1..1
%e A208555 ..1..0..0....1..0..0....0..1..0....1..0..1....1..0..0....1..0..0....0..1..0
%e A208555 ..1..0..0....0..1..0....0..1..0....1..1..0....0..1..0....1..0..0....0..1..0
%Y A208555 Column 1 is A002620(n+2)
%Y A208555 Column 2 is A030179(n+2)
%Y A208555 Column 3 is A207363
%Y A208555 Row 1 is A006355(n+2)
%Y A208555 Row 2 is A206981
%Y A208555 Row 3 is A207454
%K A208555 nonn,tabl
%O A208555 1,1
%A A208555 _R. H. Hardin_ Feb 28 2012