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A265590 T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and antidiagonal neighbors by a power of two. 9

%I #4 Dec 10 2015 07:53:44

%S 1,1,1,1,2,3,2,84,79,16,16,1354,9327,2194,125,79,38791,927797,1427680,

%T 142675,1296,456,905458,82725668,505822314,308395359,7604426,16807,

%U 2194,22977880,12404184853,376251416588,807767184602,99770416100,451816635

%N T(n,k)=Number of nXk 0..n*k-1 arrays with upper left zero and lower right n*k-1 and each element differing from its horizontal and antidiagonal neighbors by a power of two.

%C Table starts

%C ......1...........1.................1...................2..................16

%C ......1...........2................84................1354...............38791

%C ......3..........79..............9327..............927797............82725668

%C .....16........2194...........1427680...........505822314........376251416588

%C ....125......142675.........308395359........807767184602....2435259956770588

%C ...1296.....7604426.......99770416100.....938564405271330.8708917835881798394

%C ..16807...451816635....38840832559548.1227457797882040471

%C .262144.25239520503.10692035281792418

%H R. H. Hardin, <a href="/A265590/b265590.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=4

%e ..0..1..2..1....0..1..3..1....0..1..9.11....0..1..3..7....0..1..3..1

%e ..3..4..5..1....3..4..3..1....3..1..3..7....3..2..3..7....9..5..3..1

%e ..5..4..3.11....5..7..9.11....3..5..3.11...10..2..3.11....3..7..3.11

%Y Column 1 is A000272.

%Y Row 1 is A265173.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Dec 10 2015

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)