I’m on the most recent versions of everything. See screenshot. The FontAwesome field is in a repeater under a tab on an options page. Hope that helps.
https://www.dropbox.com/s/c57g1km9a13i8sy/Screenshot%202017-09-29%2013.11.33.png?dl=0
Okay I figured it out. Here the code.
$categories = get_categories(array( 'taxonomy' => 'series' ));
foreach ($categories as $category) {
$tax_term_id = $category->term_taxonomy_id;
$images = get_option('taxonomy_image_plugin');
echo wp_get_attachment_image( $images[$tax_term_id], 'medium' );
}