Query Custom Type posts

I am trying to display custom post types on the front of my website (which will be a YouTube video).

My website is here and the video will show up in that light blue box on the right side of the site. However, I can get nothing to show up!

I have tried using this code:

<?php if (have_posts()) : while (have_posts()) : the_post(); ?>

					<article id="post-<?php the_ID(); ?>" <?php post_class('clearfix'); ?>>

<?php
$args = array('post_type' => '<custom_type>',
              'posts_per_page' => 1,
         )
?>
?>

My custom post type looks like this:

// let's create the function for the custom type
function custom_post_example() {
	// creating (registering) the custom type
	register_post_type( 'custom_type', /* (http://codex.wordpress.org/Function_Reference/register_post_type) */
	 	// let's now add all the options for this post type
		array('labels' => array(
			'name' => __('Video Posts', 'post type general name'), /* This is the Title of the Group */
			'singular_name' => __('Video Post', 'post type singular name'), /* This is the individual type */
			'add_new' => __('Add New', 'custom post type item'), /* The add new menu item */
			'add_new_item' => __('Add New Video Post'), /* Add New Display Title */
			'edit' => __( 'Edit' ), /* Edit Dialog */
			'edit_item' => __('Edit Post Types'), /* Edit Display Title */
			'new_item' => __('New Post Type'), /* New Display Title */
			'view_item' => __('View Post Type'), /* View Display Title */
			'search_items' => __('Search Post Type'), /* Search Custom Type Title */
			'not_found' =>  __('Nothing found in the Database.'), /* This displays if there are no entries yet */
			'not_found_in_trash' => __('Nothing found in Trash'), /* This displays if there is nothing in the trash */
			'parent_item_colon' => ''
			), /* end of arrays */
			'description' => __( 'This is the example custom post type' ), /* Custom Type Description */
			'public' => true,
			'publicly_queryable' => true,
			'exclude_from_search' => false,
			'show_ui' => true,
			'query_var' => true,
			'menu_position' => 8, /* this is what order you want it to appear in on the left hand side menu */
			'menu_icon' => get_stylesheet_directory_uri() . '/library/images/custom-post-icon.png', /* the icon for the custom post type menu */
			'rewrite' => true,
			'capability_type' => 'post',
			'hierarchical' => false,
			/* the next one is important, it tells what's enabled in the post editor */
			'supports' => array( 'title', 'editor', 'comments', 'revisions', 'sticky')
	 	) /* end of options */
	); /* end of register post type */

	/* this ads regular categories to your custom post type */
	register_taxonomy_for_object_type('category', 'custom_type');
	/* this ads regular tags to your custom post type */
	register_taxonomy_for_object_type('post_tag', 'custom_type');

} 

	// adding the function to the WordPress init
	add_action( 'init', 'custom_post_example');

?>