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A Family of Generalized Fibonacci and Lucas Numbers

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Lucas-like sequence
Fibonacci-like sequence
n
10
p
-3
q
1
Lucas-like sequence
-311-36119-3931298-428714159-46764154451
This Demonstration displays integer sequences of the form
n
r
+
n
s
and
(
n
r
-
n
s
)/(r-s)
, where
r
and
s
are the roots of the quadratic equation
2
z
-pz-q=0
with integer coefficients
p
and
q
.
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