[math-fun] new math

Here's a puzzle I made up. In the 1960's it might have been used to get kids interested in "new math". Find two infinite sequences of non-negative integers a0, a1, a2, ... b0, b1, b2, ... such that a0 = b0 = 0, and every non-negative integer can be uniquely expressed as the sum of two integers, one from each sequence. Veit