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A207928 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207928 #7 Jul 22 2025 21:00:52
%S A207928 2,4,4,6,16,6,9,36,36,10,15,81,72,100,16,25,225,144,240,256,26,40,625,
%T A207928 360,576,704,676,42,64,1600,900,1872,1936,2080,1764,68,104,4096,2160,
%U A207928 6084,7744,6400,6216,4624,110,169,10816,5184,18096,30976,29760,21904
%N A207928 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207928 Table starts
%C A207928 ..2....4.....6.....9.....15......25.......40........64.......104........169
%C A207928 ..4...16....36....81....225.....625.....1600......4096.....10816......28561
%C A207928 ..6...36....72...144....360.....900.....2160......5184.....12528......30276
%C A207928 .10..100...240...576...1872....6084....18096.....53824....165648.....509796
%C A207928 .16..256...704..1936...7744...30976...111584....401956...1513992....5702544
%C A207928 .26..676..2080..6400..29760..138384...592968...2540836..11151624...48944016
%C A207928 .42.1764..6216.21904.126688..732736..3773248..19430464.105642128..574369156
%C A207928 .68.4624.18496.73984.520608.3663396.22906752.143233024.955190016.6369955344
%H A207928 R. H. Hardin, <a href="/A207928/b207928.txt">Table of n, a(n) for n = 1..391</a>
%e A207928 Some solutions for n=9 k=3
%e A207928 ..0..0..1....0..0..1....0..1..1....1..0..0....1..0..0....0..0..1....0..0..1
%e A207928 ..0..1..1....1..1..1....0..0..1....1..0..0....0..0..1....1..1..1....0..0..1
%e A207928 ..1..1..0....1..0..0....1..0..0....0..1..1....1..1..0....1..1..0....1..1..0
%e A207928 ..1..0..0....0..1..1....0..1..1....0..0..1....0..1..1....0..0..1....0..1..1
%e A207928 ..0..1..1....1..1..0....1..1..1....1..1..0....0..0..1....1..0..1....1..0..0
%e A207928 ..0..1..1....0..0..1....1..0..0....1..0..0....1..1..0....1..1..0....0..1..1
%e A207928 ..1..0..0....1..0..0....0..1..1....0..1..1....0..1..1....0..1..1....1..0..1
%e A207928 ..1..1..0....1..1..1....1..1..1....1..0..0....0..0..1....0..0..1....1..0..0
%e A207928 ..0..1..1....0..1..1....1..0..0....1..1..1....1..0..0....1..1..0....0..1..1
%Y A207928 Column 1 is A006355(n+2)
%Y A207928 Column 2 is A206981
%Y A207928 Column 3 is A207840
%Y A207928 Row 1 is A006498(n+2)
%Y A207928 Row 2 is A189145(n+2)
%K A207928 nonn,tabl
%O A207928 1,1
%A A207928 _R. H. Hardin_ Feb 21 2012