Have you ever been absolutely bodied by an abstract? Glad I'm not Garner!
"Our main result is an infinite family of counterexamples to Garner’s conjecture"
https://arxiv.org/abs/1511.09141
Pairs of consecutive integers have the same height in the Collatz problem with surprising frequency. Garner gave a conjectural family of conditions for exactly when this occurs. Our main result is an infinite family of counterexamples to Garner's conjecture.
