Entity reference get all related items in a view
One way of doing this in a non-programmatic way is to use views_field_view. With this method you will only get a set number of nesting levels - for example 4 levels: create a view of your specific node Content Type with 4 Pages, A, B, C, and D. In Page A, insert a Views Field that references Page B, in B a field to Page C, and in C a reference to page D. Pages B, C and D should have a contextual filter for a Node ID (nid). In each page, the Views Field View field should pass the Node Reference as an argument to the next Page. I hope this is clear. Let me know if it's not, and I can expand this. 

EDIT: If you are looking for "infinite depth" I suggest that you look at the programmatic alternative for Views, EntityFieldQuery(). Perhaps a recursive call to a function that does the query, while you build a global multi-depth array with the data you need, then theme it as a table.