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A207346 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207346 #8 Jul 22 2025 20:18:52
%S A207346 2,4,4,6,16,6,9,36,36,10,13,81,84,100,16,18,169,192,292,256,26,25,324,
%T A207346 426,828,912,676,42,34,625,858,2190,3130,2812,1764,68,46,1156,1704,
%U A207346 5290,9668,11230,8928,4624,110,62,2116,3330,12292,27022,41112,43260,28152
%N A207346 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207346 Table starts
%C A207346 ..2....4.....6......9.....13......18.......25.......34........46........62
%C A207346 ..4...16....36.....81....169.....324......625.....1156......2116......3844
%C A207346 ..6...36....84....192....426.....858.....1704.....3330......6390.....12150
%C A207346 .10..100...292....828...2190....5290....12292....27978.....62574....136978
%C A207346 .16..256...912...3130...9668...27022....71344...185624....468864...1161400
%C A207346 .26..676..2812..11230..41112..128292...388134..1134282...3225374...9002616
%C A207346 .42.1764..8928..43260.186002..684324..2367656..8000806..26057006..82907430
%C A207346 .68.4624.28152.163710.828530.3524736.13950908.53882188.199473062.720751822
%H A207346 R. H. Hardin, <a href="/A207346/b207346.txt">Table of n, a(n) for n = 1..391</a>
%e A207346 Some solutions for n=4 k=3
%e A207346 ..0..0..1....0..1..0....0..0..1....1..1..1....1..1..1....1..1..1....1..1..0
%e A207346 ..0..0..1....0..0..1....1..1..1....1..1..0....0..0..1....1..1..0....1..1..1
%e A207346 ..1..1..0....1..1..0....1..0..0....0..0..1....0..1..0....0..0..1....0..0..1
%e A207346 ..1..1..0....1..0..0....0..0..1....1..1..0....1..0..0....0..1..0....1..1..0
%Y A207346 Column 1 is A006355(n+2)
%Y A207346 Column 2 is A206981
%Y A207346 Row 1 is A171861(n+1)
%Y A207346 Row 2 is A207025
%K A207346 nonn,tabl
%O A207346 1,1
%A A207346 _R. H. Hardin_ Feb 17 2012