Every positive integer is either part of the sequence ⌊ nπ ⌋ or the sequence ⌊ nπ/(π − 1) ⌋ where n ranges over positive integers, and no positive integer is in both sequences.
This is a special case of Beatty’s theorem.
Every positive integer is either part of the sequence ⌊ nπ ⌋ or the sequence ⌊ nπ/(π − 1) ⌋ where n ranges over positive integers, and no positive integer is in both sequences.
This is a special case of Beatty’s theorem.