I want to recover a recently deleted photo album

If it is not in “recently deleted” and not in iCloud Photos Then ...

1. did you share this photo/video with anyone ask them
2. did you upload it to Cloud Drives (iCloud Drive, Google Drive, OneDrive, DropBox, Flickr, box, AmazonDrive etc)
3. did you import to Mac/PC
4. did you share it with  Shared Albums 
5. did you stream you photos

Search your photos

The Photos app makes it easy to find photos of a person or thing. You can also search for places and events.

Tap the Search tab, then enter a term in the search bar. On your Mac, the search bar is in the upper-right corner of Photos.

• People: Find photos in your library of a specific person or a group of people. Just keep names and faces organized in your People album.
• Places: See all of your photos and videos on a map in Places. Or type a location name in the Search bar to see all of the photos and videos from that place.
• Things: Photos recognizes scenes and objects. Search for a term like "lake" and then select a category result to see all of your photos that match.
• Events: Search for an event — for example, a concert you attended a few months ago — and Photos for iOS can use the time and location of your photos along with online event listings to find matching photos.

The Search tab in Photos for iOS also suggests moments, people, places, categories, and groups for you to search. Tap a suggested search, such as One Year Ago or Cats, to explore and rediscover your photos.

When you search your photos, all of the face recognition and scene and object detection are done completely on your device. Learn more about photos and your privacy.