Gromov–Witten invariant
In mathematics, a Lehmer number is a generalization of a Lucas sequence.
Algebraic relations
If a and b are complex numbers with
under the following conditions:
- Q and R are relatively prime nonzero integers
- is not a root of unity.
Then, the corresponding Lehmer numbers are:
for n odd, and
for n even.
Their companion numbers are:
for n odd and
for n even.
Recurrence
Lehmer numbers form a linear recurrence relation with
with initial values . Similarly the companions sequence satisfies