Unproved contract · No Alpha or Stable authority

IR079 — Formal atanh/exponential coefficient recurrence

IR079 · planned

Let A(z)=2*sum(j>=0,z^(2j+1)/(2j+1)) as finite coefficient tables. Formal exp(A) has F(0)=1 and (1-z²)F'=2F coefficientwise to each finite degree; composition only uses finitely many positive-degree terms.

Method: native-induction. Induction: coefficient degree. Risk: critical.

This is a human-readable planning contract, not a parsed kernel formula or accepted proof.

Planned prerequisites and notation

Open this dependency cone

Checked supporting leaves, not parent closure

The planning contract above remains open. Checked arithmetic DAG · Complete execution evidence.