Category:Third-order recurrence

After three initial terms ${\displaystyle a_{0}\,}$, ${\displaystyle a_{1}\,}$ and ${\displaystyle a_{2}\,}$, subsequent terms ${\displaystyle a_{n}\,}$ are defined in terms of a formula involving ${\displaystyle a_{n-3}\,}$,

and possibly also ${\displaystyle a_{n-1}\,}$, ${\displaystyle a_{n-2}\,}$ and/or ${\displaystyle n\,}$.