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A204398 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order 9

%I #5 Mar 31 2012 12:37:01

%S 144,648,648,2952,4050,2952,13448,27378,27378,13448,61336,175232,

%T 259808,175232,61336,279752,1131008,2196608,2196608,1131008,279752,

%U 1276088,7311488,19698336,25233408,19698336,7311488,1276088,5820872,47258642

%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order

%C Table starts

%C .....144.......648........2952........13448..........61336...........279752

%C .....648......4050.......27378.......175232........1131008..........7311488

%C ....2952.....27378......259808......2196608.......19698336........174658050

%C ...13448....175232.....2196608.....25233408......313801352.......3834777888

%C ...61336...1131008....19698336....313801352.....5406738528......91301191200

%C ..279752...7311488...174658050...3834777888....91301191200....2134049909922

%C .1276088..47258642..1547710600..46611372488..1536831498888...49709204045442

%C .5820872.305390898.13756760192.569195419058.26029238052168.1165483158963362

%H R. H. Hardin, <a href="/A204398/b204398.txt">Table of n, a(n) for n = 1..415</a>

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified September 11 00:58 EDT 2024. Contains 375813 sequences. (Running on oeis4.)