A207928 - OEIS

%I #5 Mar 31 2012 12:37:20

%S 2,4,4,6,16,6,9,36,36,10,15,81,72,100,16,25,225,144,240,256,26,40,625,

%T 360,576,704,676,42,64,1600,900,1872,1936,2080,1764,68,104,4096,2160,

%U 6084,7744,6400,6216,4624,110,169,10816,5184,18096,30976,29760,21904

%N 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 Table starts

%C ..2....4.....6.....9.....15......25.......40........64.......104........169

%C ..4...16....36....81....225.....625.....1600......4096.....10816......28561

%C ..6...36....72...144....360.....900.....2160......5184.....12528......30276

%C .10..100...240...576...1872....6084....18096.....53824....165648.....509796

%C .16..256...704..1936...7744...30976...111584....401956...1513992....5702544

%C .26..676..2080..6400..29760..138384...592968...2540836..11151624...48944016

%C .42.1764..6216.21904.126688..732736..3773248..19430464.105642128..574369156

%C .68.4624.18496.73984.520608.3663396.22906752.143233024.955190016.6369955344

%H R. H. Hardin, <a href="/A207928/b207928.txt">Table of n, a(n) for n = 1..391</a>

%e Some solutions for n=9 k=3

%e ..0..0..1....0..0..1....0..1..1....1..0..0....1..0..0....0..0..1....0..0..1

%e ..0..1..1....1..1..1....0..0..1....1..0..0....0..0..1....1..1..1....0..0..1

%e ..1..1..0....1..0..0....1..0..0....0..1..1....1..1..0....1..1..0....1..1..0

%e ..1..0..0....0..1..1....0..1..1....0..0..1....0..1..1....0..0..1....0..1..1

%e ..0..1..1....1..1..0....1..1..1....1..1..0....0..0..1....1..0..1....1..0..0

%e ..0..1..1....0..0..1....1..0..0....1..0..0....1..1..0....1..1..0....0..1..1

%e ..1..0..0....1..0..0....0..1..1....0..1..1....0..1..1....0..1..1....1..0..1

%e ..1..1..0....1..1..1....1..1..1....1..0..0....0..0..1....0..0..1....1..0..0

%e ..0..1..1....0..1..1....1..0..0....1..1..1....1..0..0....1..1..0....0..1..1

%Y Column 1 is A006355(n+2)

%Y Column 2 is A206981

%Y Column 3 is A207840

%Y Row 1 is A006498(n+2)

%Y Row 2 is A189145(n+2)

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 21 2012