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Number of n X n arrays containing n copies of 0..n-1 with row sums equal and column sums equal.
0

%I #11 Feb 26 2018 03:09:03

%S 1,2,12,4464,75502080

%N Number of n X n arrays containing n copies of 0..n-1 with row sums equal and column sums equal.

%C Diagonal of A265089.

%C Cf. Latin squares A002860.

%e Some solutions for n=4

%e ..0..2..1..3....3..3..0..0....3..1..2..0....1..0..2..3....2..1..0..3

%e ..3..1..2..0....0..2..3..1....2..3..1..0....2..3..1..0....3..1..2..0

%e ..0..2..1..3....1..1..1..3....0..2..1..3....1..3..2..0....1..2..3..0

%e ..3..1..2..0....2..0..2..2....1..0..2..3....2..0..1..3....0..2..1..3

%Y Cf. A265089, A002860.

%K nonn,more

%O 1,2

%A _R. H. Hardin_, Dec 01 2015