

def    SCREAMING_SNAKE_CASE__       (  lowerCamelCase__			)  ->     Optional[int]:

	if length <= 0 or not isinstance(SCREAMING_SNAKE_CASE__	, SCREAMING_SNAKE_CASE__			):
		raise ValueError('Length must be a positive integer.'			)
	return [n * (2 * n - 1) for n in range(SCREAMING_SNAKE_CASE__			)]


if __name__ == "__main__":
					print(hexagonal_numbers(length=5))
					print(hexagonal_numbers(length=10))







from ..utils import DummyObject, requires_backends





class 	snake_case_   (		metaclass=__A					):







			'''simple docstring'''

			SCREAMING_SNAKE_CASE     :   Union[str, Any]									=				["note_seq"]







			def __init__(     self :				Optional[int]							,   *_UpperCamelCase :				str							,   **_UpperCamelCase :				Optional[int]							)      ->Any:
									requires_backends(self							,   ['''note_seq''']							)







			@classmethod
			def 				snake_case__(     cls :				int							,   *_UpperCamelCase :				Any							,   **_UpperCamelCase :				List[Any]							)      ->int:
									requires_backends(cls							,   ['''note_seq''']							)







			@classmethod
			def 				snake_case__(     cls :				Dict							,   *_UpperCamelCase :				Optional[int]							,   **_UpperCamelCase :				Union[str, Any]							)      ->List[str]:
									requires_backends(cls							,   ['''note_seq''']							)