Let the line 2x+3y-k=0,k>0, intersect the x-axis and y-axis at the points A and B, respectively. If the equation of the circle having the line segment AB as a diameter is x^2+y^2-3x-2y=0 and the length of the latus rectum of the ellipse x^2+9y^2=k^2 is m/n, where m and n are coprime, then 2m+n is equal to