Lehmer sequence
In mathematics, a Lehmer sequence is a generalization of a Lucas sequence.If a and b are complex numbers with
under the following conditions:
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
with initial values
