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Lucas sequence
In
mathematics
, the
Lucas sequences
U
n
(
P
,
Q
) and
V
n
(
P
,
Q
) are certain
integer sequences
that satisfy the
recurrence relation
x
n
=
P x
n
-1
-
Q x
n
-2
where
P
and
Q
are fixed integers. Any other sequence satisfying this recurrence relation can be represented as a
linear combination
of the Lucas sequences
U
n
(
P
,
Q
) and
V
n
(
P
,
Q
).
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