==> (0, 0), (2, 2), (7/4, 7/3), (-2, 2/3), (-1/4, 1/5), (1.001,1001.0).
What do all these pairs of numbers have in common? Only grade-school mathematics required.
Numeration is decimal (the conventional way).
Answer: All these pairs have equal sum and product. Here are equivalent formulations:
a> ==> m+n = mn.
b> ==> (m-1)(n-1) = 1
c> ==> m = a/b, n = a/c, where a = b+c.
Stay tuned for more on Fibonacci numbers and their ilk. Or maybe not...this hasn't been a good week for math posts. I understand that youall might be fresh out of intelligent comments, but that never stopped me when addressing your posts. What about woefully stupid comments? I don't see any of those either. Oh, well.