Category:Twelfth-order recurrence

After twelve initial terms ${\displaystyle a_{0}\,}$, ${\displaystyle a_{1}\,}$, ${\displaystyle a_{2}\,}$, ${\displaystyle a_{3}\,}$, ${\displaystyle a_{4}\,}$, ${\displaystyle a_{5}\,}$, ${\displaystyle a_{6}\,}$, ${\displaystyle a_{7}\,}$, ${\displaystyle a_{8}\,}$, ${\displaystyle a_{9}\,}$, ${\displaystyle a_{10}\,}$ and ${\displaystyle a_{11}\,}$,

subsequent terms ${\displaystyle a_{n}\,}$ are defined in terms of a formula involving ${\displaystyle a_{n-12}\,}$,

and possibly also ${\displaystyle a_{n-1}\,}$, ${\displaystyle a_{n-2}\,}$, ${\displaystyle a_{n-3}\,}$, ${\displaystyle a_{n-4}\,}$, ${\displaystyle a_{n-5}\,}$, ${\displaystyle a_{n-6}\,}$, ${\displaystyle a_{n-7}\,}$, ${\displaystyle a_{n-8}\,}$, ${\displaystyle a_{n-9}\,}$, ${\displaystyle a_{n-10}\,}$, ${\displaystyle a_{n-11}\,}$ and/or ${\displaystyle n\,}$.