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%I #5 Dec 18 2015 18:17:27
%S 1,1,1,1,3,2,1,4,44,24,1,4,230,4920,1344,1,4,464,190452,6050304,
%T 1128960,1,4,569,1760316
%N T(n,k)=Number of n X n 0..n+k-2 arrays with new values 0 upwards introduced in row major order and every value unique in its row and column
%C Table starts
%C .......1.......1......1.......1...1.1.1
%C .......1.......3......4.......4...4.4
%C .......2......44....230.....464.569
%C ......24....4920.190452.1760316
%C ....1344.6050304
%C .1128960
%e Some solutions for n=4 k=4
%e ..0..1..2..3....0..1..2..3....0..1..2..3....0..1..2..3....0..1..2..3
%e ..1..2..0..4....1..0..3..4....2..3..1..4....1..0..3..4....2..3..1..0
%e ..4..5..1..0....4..2..5..0....4..0..5..6....2..3..1..5....4..5..3..2
%e ..2..6..3..5....5..3..4..6....5..4..0..1....6..2..4..0....1..6..4..5
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_ Apr 20 2012
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