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A207242 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

%I A207242 #7 Jul 22 2025 20:11:51
%S A207242 2,4,4,6,16,6,9,36,36,9,13,81,102,81,14,18,169,283,287,196,21,25,324,
%T A207242 699,987,882,441,31,34,625,1526,2884,3866,2491,961,46,46,1156,3355,
%U A207242 7165,13876,13494,6759,2116,68,62,2116,6888,17929,40838,58026,44730,18528
%N A207242 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 0 vertically.
%C A207242 Table starts
%C A207242 ..2....4.....6......9.....13......18.......25.......34........46........62
%C A207242 ..4...16....36.....81....169.....324......625.....1156......2116......3844
%C A207242 ..6...36...102....283....699....1526.....3355.....6888.....13954.....27816
%C A207242 ..9...81...287....987...2884....7165....17929....40646.....90602....196548
%C A207242 .14..196...882...3866..13876...40838...122197...323039....839664...2118081
%C A207242 .21..441..2491..13494..58026..197256...683257..2037721...5952936..16732138
%C A207242 .31..961..6759..44730.228110..886959..3510185.11662500..37779767.116530737
%C A207242 .46.2116.18528.150608.919413.4132837.18982182.71594896.262849612.914523558
%H A207242 R. H. Hardin, <a href="/A207242/b207242.txt">Table of n, a(n) for n = 1..449</a>
%e A207242 Some solutions for n=4 k=3
%e A207242 ..0..1..0....0..1..0....1..1..1....0..0..1....1..0..0....0..0..1....0..1..0
%e A207242 ..0..1..0....1..1..1....1..1..1....0..0..1....0..0..1....1..1..0....1..0..0
%e A207242 ..0..1..0....1..0..1....0..1..0....0..0..1....1..0..1....1..1..0....1..1..0
%e A207242 ..0..1..0....0..0..1....0..1..0....0..0..1....1..0..1....1..0..0....0..1..0
%Y A207242 Column 1 is A038718(n+2)
%Y A207242 Column 2 is A207069
%Y A207242 Row 1 is A171861(n+1)
%Y A207242 Row 2 is A207025
%K A207242 nonn,tabl
%O A207242 1,1
%A A207242 _R. H. Hardin_ Feb 16 2012