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A207938 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207938 #7 Jul 22 2025 21:01:34
%S A207938 2,4,4,6,16,6,9,36,36,8,14,81,98,64,10,22,196,271,200,100,12,35,484,
%T A207938 844,643,350,144,14,56,1225,2706,2422,1271,556,196,16,90,3136,8977,
%U A207938 9430,5594,2239,826,256,18,145,8100,30168,38207,25490,11256,3641,1168,324,20,234
%N A207938 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207938 Table starts
%C A207938 ..2...4....6....9....14.....22......35.......56.......90.......145........234
%C A207938 ..4..16...36...81...196....484....1225.....3136.....8100.....21025......54756
%C A207938 ..6..36...98..271...844...2706....8977....30168...102384....349069....1193648
%C A207938 ..8..64..200..643..2422...9430...38207...156792...649758...2703377...11276024
%C A207938 .10.100..350.1271..5594..25490..121313...584386..2841676..13864995...67793828
%C A207938 .12.144..556.2239.11256..58602..319439..1760946..9794226..54631117..305277128
%C A207938 .14.196..826.3641.20568.120276..737575..4570122.28555126.178852957.1121957980
%C A207938 .16.256.1168.5581.34986.226850.1544037.10609482.73474400.509887759.3543126698
%H A207938 R. H. Hardin, <a href="/A207938/b207938.txt">Table of n, a(n) for n = 1..546</a>
%e A207938 Some solutions for n=4 k=3
%e A207938 ..0..1..0....1..1..0....0..0..0....1..1..0....1..1..1....0..1..1....0..0..0
%e A207938 ..1..1..1....1..1..0....0..0..0....0..0..0....1..0..1....1..1..0....0..1..1
%e A207938 ..0..1..1....1..1..0....0..0..0....0..1..0....1..1..1....1..1..1....0..1..0
%e A207938 ..0..1..1....1..1..0....0..0..0....0..1..0....1..1..1....1..1..1....0..1..1
%Y A207938 Column 1 is A004275(n+1)
%Y A207938 Column 2 is A016742
%Y A207938 Column 3 is A207106
%Y A207938 Column 4 is A207107
%Y A207938 Row 1 is A001611(n+2)
%Y A207938 Row 2 is A207436
%K A207938 nonn,tabl
%O A207938 1,1
%A A207938 _R. H. Hardin_ Feb 21 2012