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A207123 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically.

%I A207123 #7 Jul 22 2025 20:03:10
%S A207123 2,4,4,6,16,6,9,36,36,9,14,81,102,81,12,21,196,288,289,144,16,31,441,
%T A207123 896,1024,612,256,20,46,961,2499,4096,2560,1296,400,25,68,2116,6634,
%U A207123 14161,12288,6400,2340,625,30,100,4624,17848,45796,49861,36864,13200,4225,900
%N A207123 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically.
%C A207123 Table starts
%C A207123 ..2...4....6.....9.....14......21......31.......46........68........100
%C A207123 ..4..16...36....81....196.....441.....961.....2116......4624......10000
%C A207123 ..6..36..102...288....896....2499....6634....17848.....47192.....122200
%C A207123 ..9..81..289..1024...4096...14161...45796...150544....481636....1493284
%C A207123 .12.144..612..2560..12288...49861..186822...712756...2628872....9322638
%C A207123 .16.256.1296..6400..36864..175561..762129..3374569..14348944...58201641
%C A207123 .20.400.2340.13200..87744..475984.2330037.11635558..55554808..251535759
%C A207123 .25.625.4225.27225.208849.1290496.7123561.40119556.215091556.1087086841
%H A207123 R. H. Hardin, <a href="/A207123/b207123.txt">Table of n, a(n) for n = 1..545</a>
%e A207123 Some solutions for n=4 k=3
%e A207123 ..0..1..1....0..1..1....1..0..1....0..0..0....1..0..1....0..0..0....1..1..0
%e A207123 ..0..0..0....0..1..1....0..0..0....0..1..1....0..1..1....0..1..1....0..0..0
%e A207123 ..0..1..1....0..1..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e A207123 ..0..0..0....0..1..1....0..0..0....0..0..0....0..0..0....0..1..1....0..0..0
%Y A207123 Column 1 is A002620(n+2)
%Y A207123 Column 2 is A030179(n+2)
%Y A207123 Row 1 is A038718(n+2)
%Y A207123 Row 2 is A207069
%Y A207123 Row 3 is A207070
%K A207123 nonn,tabl
%O A207123 1,1
%A A207123 _R. H. Hardin_ Feb 15 2012