Sidon quadruples Sample Clauses

Sidon quadruples. If a set A ⊂ N is not a Sidon set, then there exist a1, a2, a3, a4 ∈ A (necessarily distinct but not all equal) such that a1 +a4 = a2 +a3. Without loss of generality, assume that a1 < a2 ≤ a3 < a4. We call a set {a1, a2, a3, a4} a Sidon quadruple if both a1 + a4 = a2 + a3 and a1 < a2 ≤ a3 < a4 hold. Note that the size of a Sidon quadruple is either 3 or 4.
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