Category:Fifth-order recurrence

After five initial terms ${\displaystyle a_{0}\,}$, ${\displaystyle a_{1}\,}$, ${\displaystyle a_{2}\,}$, ${\displaystyle a_{3}\,}$ and ${\displaystyle a_{4}\,}$, subsequent terms ${\displaystyle a_{n}\,}$ are defined in terms of a formula involving ${\displaystyle a_{n-5}\,}$,

and possibly also ${\displaystyle a_{n-1}\,}$, ${\displaystyle a_{n-2}\,}$, ${\displaystyle a_{n-3}\,}$, ${\displaystyle a_{n-4}\,}$ and/or ${\displaystyle n\,}$.