This is the 8168th most frequent Swedish word.
amerikanske
"Amerikanske" means "American" (male or masculine form) in Swedish.
Here, 'amerikanske' is an adjective modifying 'författaren' (the author), describing their nationality.
Jag såg den amerikanske författaren på TV.
I saw the American author on TV.
In this sentence, 'amerikanske' is used as an attributive adjective describing 'presidenten', indicating their nationality as American.
Den amerikanske presidenten höll ett tal igår.
The American president gave a speech yesterday.
'Amerikanske' is here a descriptive adjective for 'regissören', specifying that the director is American.