Category:Fourth-order recurrence

After four initial terms ${\displaystyle a_{0}\,}$, ${\displaystyle a_{1}\,}$, ${\displaystyle a_{2}\,}$ and ${\displaystyle a_{3}\,}$, subsequent terms ${\displaystyle a_{n}\,}$ are defined in terms of a formula involving ${\displaystyle a_{n-4}\,}$,

and possibly also ${\displaystyle a_{n-1}\,}$, ${\displaystyle a_{n-2}\,}$, ${\displaystyle a_{n-3}\,}$ and/or ${\displaystyle n\,}$.