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A207895 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207895 #7 Jul 22 2025 20:57:02
%S A207895 2,4,4,6,16,6,9,36,36,10,13,81,84,100,16,19,169,198,292,256,26,28,361,
%T A207895 462,870,912,676,42,41,784,1080,2446,3358,2812,1764,68,60,1681,2520,
%U A207895 6952,11196,12040,8928,4624,110,88,3600,5886,20168,38160,49442,47320,28152
%N A207895 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207895 Table starts
%C A207895 ..2....4.....6......9......13......19.......28........41.........60.........88
%C A207895 ..4...16....36.....81.....169.....361......784......1681.......3600.......7744
%C A207895 ..6...36....84....198.....462....1080.....2520......5886......13746......32100
%C A207895 .10..100...292....870....2446....6952....20168.....57838.....164914.....473632
%C A207895 .16..256...912...3358...11196...38160...135714....471374....1605156....5575548
%C A207895 .26..676..2812..12040...49442..205258...856480...3559040...14795830...61589756
%C A207895 .42.1764..8928..47320..231900.1153532..5888458..29719004..148308700..747498440
%C A207895 .68.4624.28152.182192.1070030.6420722.39828558.243318702.1460399404.8907998820
%H A207895 R. H. Hardin, <a href="/A207895/b207895.txt">Table of n, a(n) for n = 1..419</a>
%e A207895 Some solutions for n=4 k=3
%e A207895 ..1..1..1....0..1..1....1..1..1....1..1..1....0..0..1....0..1..1....1..0..0
%e A207895 ..1..1..0....1..0..0....1..1..0....0..0..1....0..1..1....0..0..1....1..1..1
%e A207895 ..0..0..1....1..0..0....0..0..1....0..1..0....1..1..0....1..1..0....0..1..0
%e A207895 ..0..1..1....0..1..1....1..1..0....1..0..0....0..0..1....0..0..1....1..0..0
%Y A207895 Column 1 is A006355(n+2)
%Y A207895 Column 2 is A206981
%Y A207895 Column 3 is A207341
%Y A207895 Column 4 is A207662
%Y A207895 Row 1 is A000930(n+3)
%Y A207895 Row 2 is A207170
%K A207895 nonn,tabl
%O A207895 1,1
%A A207895 _R. H. Hardin_ Feb 21 2012