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A208118 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically.

%I A208118 #7 Jul 22 2025 21:10:47
%S A208118 2,4,4,6,16,6,9,36,36,9,15,81,90,81,12,25,225,225,225,144,16,40,625,
%T A208118 825,625,420,256,20,64,1600,3025,3025,1225,784,400,25,104,4096,9240,
%U A208118 14641,7315,2401,1260,625,30,169,10816,28224,53361,43681,17689,3969,2025,900
%N A208118 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically.
%C A208118 Table starts
%C A208118 ..2...4....6....9....15.....25......40.......64.......104........169........273
%C A208118 ..4..16...36...81...225....625....1600.....4096.....10816......28561......74529
%C A208118 ..6..36...90..225...825...3025....9240....28224.....93912.....312481.....997815
%C A208118 ..9..81..225..625..3025..14641...53361...194481....815409....3418801...13359025
%C A208118 .12.144..420.1225..7315..43681..175560...705600...3503640...17397241...76934095
%C A208118 .16.256..784.2401.17689.130321..577600..2560000..15054400...88529281..443060401
%C A208118 .20.400.1260.3969.34713.303601.1432600..6760000..45648200..308248249.1680152229
%C A208118 .25.625.2025.6561.68121.707281.3553225.17850625.138415225.1073283121.6371392041
%H A208118 R. H. Hardin, <a href="/A208118/b208118.txt">Table of n, a(n) for n = 1..1211</a>
%e A208118 Some solutions for n=4 k=3
%e A208118 ..1..1..1....0..1..1....0..0..1....0..0..1....1..1..0....1..0..1....1..1..1
%e A208118 ..1..1..1....1..0..1....1..0..1....0..0..1....0..0..1....1..0..1....1..1..1
%e A208118 ..0..1..1....0..1..1....0..0..1....0..0..1....1..1..0....1..0..1....1..1..1
%e A208118 ..0..1..1....1..0..1....0..0..1....0..0..1....0..0..1....0..0..1....1..0..1
%Y A208118 Column 1 is A002620(n+2)
%Y A208118 Column 2 is A030179(n+2)
%Y A208118 Column 3 is A207363
%Y A208118 Row 1 is A006498(n+2)
%Y A208118 Row 2 is A189145(n+2)
%Y A208118 Row 3 is A207600
%K A208118 nonn,tabl
%O A208118 1,1
%A A208118 _R. H. Hardin_ Feb 23 2012