Formal target: Corpus.OEIS120424.conjecture1
Conjecture (1): The natural density of even terms in the sequence is $1/2$.
Exact formal statement
Filter.Tendsto.{0, 0}
(fun n =>
HDiv.hDiv.{0, 0, 0}
(Nat.cast.{0}
(Finset.card.{0}
(Finset.filter.{0} (fun k => Eq.{1} (HMod.hMod.{0, 0, 0} (Corpus.OEIS120424.a k) 2) 0) (Finset.range n))))
(Nat.cast.{0} n))
Filter.atTop.{0} (nhds.{0} (1 / 2))This target is a formal statement, not a proof of the problem.
Environment availability: available.