Odd numbers are the integers that refuse to split evenly: 1, 3, 5, 7, 9, ... Divide any of them by 2 and you are left with remainder 1 - the "leftover one". They alternate forever down the line as ... -5, -3, -1, 1, 3, 5, ... In rows, seats, hops and games, the odds are the "alternate" positions of everyday life.
Generate Odd Numbers emits only odd values, starting anywhere you choose and running up to 1000 terms. Step is fixed at 2 by definition; negatives welcome. A clean stream for patterns, parity exercises and data that must be odd.