# Integrality of the factorial ratio ((12n+6)! (6n+9)!)/(108 (4n+2)! (2n+3)! ((6n+5)!)²)

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: oeis:368692
- Collection: OEIS
- Page: https://qed.bot/s/oeis-368692
- Formal record: solved
- Machine-checked: no independent check has verified it
- Fidelity F2: The statement corpus cites this proof against its own statement.
- Source: https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/OEIS/368692.lean

## AI claims

No AI contribution is recorded against this statement.

## Formal statements

- FormalConjectures/OEIS/368692.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/OEIS/368692.lean

Cite as: qed.bot, "Integrality of the factorial ratio ((12n+6)! (6n+9)!)/(108 (4n+2)! (2n+3)! ((6n+5)!)²)", https://qed.bot/s/oeis-368692, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/