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A265635 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, diagonal and antidiagonal neighbors by a power of two. 8

%I #4 Dec 11 2015 07:44:19

%S 1,1,1,1,0,3,2,64,21,16,16,559,2660,585,125,79,10444,85492,35328,8463,

%T 1296,456,154825,2331618,2723409,5852058,294394,16807,2194,2325672,

%U 206993090,1299561587,3979565339,962138367,6639203,262144,20801,32134921

%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, diagonal and antidiagonal neighbors by a power of two.

%C Table starts

%C .....1.......1............1...............2...............16..............79

%C .....1.......0...........64.............559............10444..........154825

%C .....3......21.........2660...........85492..........2331618.......206993090

%C ....16.....585........35328.........2723409.......1299561587....361488020990

%C ...125....8463......5852058......3979565339...25336433674079.379828279842232

%C ..1296..294394....962138367....796308532514.2181889044925821

%C .16807.6639203.498846580538.168471146612539

%H R. H. Hardin, <a href="/A265635/b265635.txt">Table of n, a(n) for n = 1..59</a>

%e Some solutions for n=3 k=4

%e ..0..4..6..4....0..2..3.11....0..1..3..5....0..2.10..2....0..4..3..5

%e ..3..4..3..7....0..4..3..2....9..1..3.11....1..2.10..6....3..4..3..5

%e ..6..7..3.11....0..2..3.11....3..7..9.11....6..2.10.11....3..7..3.11

%Y Column 1 is A000272.

%Y Row 1 is A265173.

%K nonn,tabl

%O 1,6

%A _R. H. Hardin_, Dec 11 2015

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Last modified May 18 02:38 EDT 2024. Contains 372617 sequences. (Running on oeis4.)