For each h and i0 from 0 to h-1, the set {0,1,h+1,(h+1-i0)(h+1)} has h-fold sumset size binomial(h+3,3) minus binomial(i0+2,3).
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Additive sumset sizes with tetrahedral differences
For each h and i0 from 0 to h-1, the set {0,1,h+1,(h+1-i0)(h+1)} has h-fold sumset size binomial(h+3,3) minus binomial(i0+2,3).