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A204492 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order 9

%I

%S 72,214,214,610,511,610,1690,1189,1189,1690,4664,2627,2547,2627,4664,

%T 12809,5804,5407,5407,5804,12809,35172,12861,11331,11137,11331,12861,

%U 35172,96615,28743,23851,22341,22341,23851,28743,96615,265372,64707

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order

%C Table starts

%C ....72...214....610...1690...4664..12809...35172...96615..265372..728983

%C ...214...511...1189...2627...5804..12861...28743...64707..146082..330644

%C ...610..1189...2547...5407..11331..23851...50897..109489..236402..512911

%C ..1690..2627...5407..11137..22341..44712...90942..187020..388236..811400

%C ..4664..5804..11331..22341..43620..85756..168567..334451..672081.1366044

%C .12809.12861..23851..44712..85756.169432..331723..640841.1254717.2491262

%C .35172.28743..50897..90942.168567.331723..658793.1277695.2455575.4765823

%C .96615.64707.109489.187020.334451.640841.1277695.2543298.4935462.9446849

%H R. H. Hardin, <a href="/A204492/b204492.txt">Table of n, a(n) for n = 1..449</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified January 19 12:10 EST 2022. Contains 350465 sequences. (Running on oeis4.)