In previous results, Bleiler and Nakanishi produced an example of
a knot where the unknotting number was not realized in a minimal projection
of the knot. Bernhard generalied this example to an infi{}nite class
of examples with Conway notation $\left(2j+1,1,2j\right)$ with j
$\geq$ 2. In this paper we examine the entire class of knots given
in Conway notation by (2j + 1, 2k + 1, 2j) where j $\geq$ 1 and k
$\geq$ 0 and we determine that a large class of knots of this form
have the unknotting number not realized in a minimal projection. We
also produce an infi{}nite class of two component links with unknotting
number gap arbitrarily large.
