For 4-element sets of integers, the most popular h-fold sumset sizes appear to equal C(h+3,3) minus the first h tetrahedral numbers, but only computer experiments are given.
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Triangular and tetrahedral number differences of sumset sizes in additive number theory
For 4-element sets of integers, the most popular h-fold sumset sizes appear to equal C(h+3,3) minus the first h tetrahedral numbers, but only computer experiments are given.