Formal target: Corpus.OEIS306477.conjecture
**Zhi-Wei Sun's 2-4-6-8 Conjecture (A306477)**: Any integer $n > 0$ can be written as $\binom{w+2}{2} + \binom{x+3}{4} + \binom{y+5}{6} + \binom{z+7}{8}$ for nonnegative integers $w, x, y, z$.
Exact formal statement
∀ (n : Nat), LT.lt.{0} 0 n → Corpus.OEIS306477.A nThis target is a formal statement, not a proof of the problem.
Environment availability: available.