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 A204782 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..2 introduced in row major order 9

%I

%S 2592,55296,55296,1180224,2973696,1180224,25190406,160435446,

%T 160435446,25190406,537665796,8643947616,21570701058,8643947616,

%U 537665796,11475976536,465761252736,2890032532056,2890032532056,465761252736

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..2 introduced in row major order

%C Table starts

%C .........2592............55296.............1180224................25190406

%C ........55296..........2973696...........160435446..............8643947616

%C ......1180224........160435446.........21570701058...........2890032532056

%C .....25190406.......8643947616.......2890032532056.........966430412947296

%C ....537665796.....465761252736.....387664140116880......323760110018338584

%C ..11475976536...25096321973400...51989763458957400...108409087458981913446

%C .244944162648.1352264628934656.6972630432052561776.36302705908249227882336

%H R. H. Hardin, <a href="/A204782/b204782.txt">Table of n, a(n) for n = 1..110</a>

%e Some solutions for n=3 k=3

%e ..0..0..1..1..2....0..0..0..1..0....0..1..0..0..2....0..0..1..2..0

%e ..0..2..2..2..1....0..1..1..1..0....0..0..0..0..1....2..1..0..2..1

%e ..2..2..0..2..1....2..2..2..1..1....1..1..2..2..2....2..1..2..2..1

%e ..0..1..0..0..0....1..1..0..0..2....0..1..2..0..1....2..0..2..2..2

%e ..2..0..0..0..1....2..2..0..0..0....1..0..2..2..2....0..0..2..1..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 19 2012

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Last modified September 20 08:53 EDT 2021. Contains 347579 sequences. (Running on oeis4.)