How to select last child that is even number except for second?

How to select last child that is even number except for second?

How can I select the last child of a div that is an even number and for this to apply to all last children except if the last child also happens to be the second of its type? 

  1. if ($this.is(':last-child')) {
        $this.addClass('end');
        $("<div class='clearfix'></div>").insertBefore(this);
    }