  Gap balancing numbers are a certain generalization of balancing and
cobalancing numbers that arise from studying the equation ${T(L)+T(B)=T(m)}$
where $T(i)$ is the $i$th triangular number. In this paper, we survey early
results, attempt to unify existing terminology, and extend prior findings. In
addition, we further investigate the structure of classes of gap balancing
numbers and related sequences, presenting new results and a conjecture
regarding the number of classes based on the gap size.
