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Number of 5X5 nonnegative integer matrices with row and column i=1..5 having sum <= i*n
1

%I #5 Jul 02 2012 15:58:25

%S 9800058,98721672541,69768979161580,11798463876314995,

%T 807203255071567008,29476753771054668510

%N Number of 5X5 nonnegative integer matrices with row and column i=1..5 having sum <= i*n

%C Row 5 of A214011

%e Some solutions for n=3

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

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

%e ..0..0..0..2..0....0..1..0..4..4....0..0..4..1..4....0..6..0..0..0

%e ..0..0..9..1..0....0..0..0..0..0....0..0..1.10..0....0..0..0..5..2

%e ..0..0..0..0..5....0..0..0..5..1....0..0..0..0..0....0..0..0..4.10

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 30 2012