This procedure finds the value of the nth term in the sequence encoded by the generating function Fz.

The value FAIL is returned if Fz is a trivial rational generating function.

The command with(genfunc,rgf_term) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{genfunc}\right)\:$

$\mathrm{rgf\_term}\left(\frac{1}{1-2z}\,z\,100\right)$

$1267650600228229401496703205376$

$\mathrm{rgf\_term}\left(\frac{z}{{\left(1-z\right)}^2}\,z\,1001\right)$

$1001$

$\mathrm{rgf\_term}\left(\frac{1}{1-az}\,z\,26\right)$

$a^{26}$

$\mathrm{rgf\_term}\left(\frac{1}{1-y-yz}\,z\,58\right)$

$-\frac{y^{58}}{{\left(y-1\right)}^{59}}$