Jquery and Sticky

First, please use wp_enqueue_script() to add JavaScript to your WordPress pages. Also note that jQuery is loaded by default in WordPress; there’s no need for you to do it.

From that same page:

The jQuery library included with WordPress is set to the noConflict() mode (see wp-includes/js/jquery/jquery.js). This is to prevent compatibility problems with other JavaScript libraries that WordPress can link.

In the noConflict() mode, the global $ shortcut for jQuery is not available[…]

However, if you really like the short $ instead of jQuery, you can use the following wrapper around your code:

    jQuery(document).ready(function($) {
        // Inside of this function, $() will work as an alias for jQuery()
        // and other libraries also using $ will not be accessible under this shortcut
    });

[src]

So change your code to this:

jQuery(document).ready(function($) {
  $('.one_fourth_style_4').stickySidebar();
});

and it should work with WP’s jQuery library.