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A207500 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically.

%I A207500 #7 Jul 22 2025 20:30:39
%S A207500 2,4,4,6,16,6,9,36,36,9,13,81,102,81,14,18,169,283,297,196,22,25,324,
%T A207500 699,1004,932,484,35,34,625,1526,2942,3939,2974,1225,56,46,1156,3355,
%U A207500 7305,14253,15495,9723,3136,90,62,2116,6888,17911,41938,68745,62530,32164
%N A207500 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically.
%C A207500 Table starts
%C A207500 ..2....4.....6......9......13......18.......25........34........46.........62
%C A207500 ..4...16....36.....81.....169.....324......625......1156......2116.......3844
%C A207500 ..6...36...102....283.....699....1526.....3355......6888.....13954......27816
%C A207500 ..9...81...297...1004....2942....7305....17911.....40262.....87990.....187012
%C A207500 .14..196...932...3939...14253...41938...122061....319798....813724....2009628
%C A207500 .22..484..2974..15495...68745..237576...804887...2408502...6896518...18962878
%C A207500 .35.1225..9723..62530..343310.1413961..5715255..20090516..67370124..216796950
%C A207500 .56.3136.32164.253747.1714707.8384076.40046975.163471950.628620128.2300337450
%H A207500 R. H. Hardin, <a href="/A207500/b207500.txt">Table of n, a(n) for n = 1..390</a>
%e A207500 Some solutions for n=4 k=3
%e A207500 ..1..0..0....1..0..0....1..1..1....0..1..0....0..1..0....0..1..0....0..0..1
%e A207500 ..0..0..1....1..0..1....1..1..1....0..1..0....0..0..1....1..1..0....1..1..1
%e A207500 ..1..0..0....1..0..0....1..1..1....0..1..0....0..1..0....1..1..0....0..0..1
%e A207500 ..1..0..1....0..0..1....1..1..1....0..1..0....0..0..1....1..0..0....1..1..0
%Y A207500 Column 1 is A001611(n+2)
%Y A207500 Column 2 is A207436
%Y A207500 Row 1 is A171861(n+1)
%Y A207500 Row 2 is A207025
%Y A207500 Row 3 is A207243
%K A207500 nonn,tabl
%O A207500 1,1
%A A207500 _R. H. Hardin_ Feb 18 2012