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Number of nondecreasing -n..n vectors of length 5 whose dot product with some nonincreasing -n..n vector equals 5
0

%I #3 Jun 06 2013 06:42:21

%S 2,38,258,874,2674,5272,10554,18170,30814,48204,75312,108574,158900,

%T 219746,304160,405086,543242,698314,909178,1146250,1449110,1790744,

%U 2228894

%N Number of nondecreasing -n..n vectors of length 5 whose dot product with some nonincreasing -n..n vector equals 5

%C Row 5 of A226398

%e Some solutions for n=3

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

%e .-1...-1...-2...-1...-1...-2...-2...-3...-1....1...-3....1...-3...-1...-2...-3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jun 06 2013