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maths/series/hexagonal_numbers.py
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Shriyans Gandhi
Hexagonal number sequence (#5640)
29 окт 2021, 10:39
Не верифицирован
29 окт 2021, 10:39
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""" A hexagonal number sequence is a sequence of figurate numbers where the nth hexagonal number hₙ is the number of distinct dots in a pattern of dots consisting of the outlines of regular hexagons with sides up to n dots, when the hexagons are overlaid so that they share one vertex. Calculates the hexagonal numbers sequence with a formula hₙ = n(2n-1) where: hₙ --> is nth element of the sequence n --> is the number of element in the sequence reference-->"Hexagonal number" Wikipedia <https://en.wikipedia.org/wiki/Hexagonal_number> """ def hexagonal_numbers(length: int) -> list[int]: """ :param len: max number of elements :type len: int :return: Hexagonal numbers as a list Tests: >>> hexagonal_numbers(10) [0, 1, 6, 15, 28, 45, 66, 91, 120, 153] >>> hexagonal_numbers(5) [0, 1, 6, 15, 28] >>> hexagonal_numbers(0) Traceback (most recent call last): ... ValueError: Length must be a positive integer. """ if length <= 0 or not isinstance(length, int): raise ValueError("Length must be a positive integer.") return [n * (2 * n - 1) for n in range(length)] if __name__ == "__main__": print(hexagonal_numbers(length=5)) print(hexagonal_numbers(length=10))