Thousand and One Nights vs Arabian Nights

Thousand and One Nights and Arabian Nights both are nouns.

Word	Noun	Adjective	Verb	Adverb
Thousand and One Nights	Yes	No	No	No
Arabian Nights	Yes	No	No	No

As nouns, Thousand and One Nights and Arabian Nights are synonyms defined as:

Thousand and One Nights and Arabian Nights: a collection of folktales in Arabic dating from the 10th century

Other synonyms of Thousand and One Nights include Arabian Nights' Entertainment, One Thousand and One Nights.

Thousand and One Nights (noun)	Arabian Nights (noun)
a collection of folktales in Arabic dating from the 10th century	a collection of folktales in Arabic dating from the 10th century