Motzkin Hankel determinants = 1
Theorem.Motzkin Hankel determinants = 1 — det[M_{i+j}] = 1 for n = 1..6 exact BigInt.
Proof.det[M_{i+j}] = 1 for n = 1..6 exact BigInt — the Hankel method proven on Catalan transfers whole to a second family (Aigner cited for all n).
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/waves/index.ts#emergenceContinuesWave
1 · Classification
finite-complete — computed witness within a cited frame (the unbounded form leans on the cited literature)
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"Motzkin Hankel determinants = 1" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation emergenceContinuesWave.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (emergenceContinuesWave @ src/thunder/waves) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes emergenceContinuesWave (src/thunder/waves/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.