The diffeqtorec(deq, y(z), u(n)) command converts a linear differential equation, deq, into a recurrence.

Let  be a power series solution of the differential equation.

If u(n) is the nth Taylor coefficient of  around zero, the diffeqtorec function returns a linear recurrence for the numbers u(n), with rational coefficients in n.

The syntax is the same as that of dsolve.  Combined with algeqtodiffeq, this function produces a linear recurrence for the Taylor coefficients of an algebraic function.