Lucas Sequence Calculator

U_n(P,Q) & V_n(P,Q)

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U_15(1,-1)

610

V_15(1,-1)

1,364

D=5Fibonacci / Lucas

Sequence

n=0U=0V=2

n=1U=1V=1

n=2U=1V=3

n=3U=2V=4

n=4U=3V=7

n=5U=5V=11

n=6U=8V=18

n=7U=13V=29

n=8U=21V=47

n=9U=34V=76

n=10U=55V=123

n=11U=89V=199

n=12U=144V=322

n=13U=233V=521

n=14U=377V=843

n=15U=610V=1364

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About Lucas Sequence Calculator

A Lucas sequence calculator computing U_n(P,Q) and V_n(P,Q) with recurrence x_n = P·x_{n-1} − Q·x_{n-2}. Fibonacci=U_n(1,−1), Lucas=V_n(1,−1). Shows both sequences, discriminant, and special cases. Client-side.

Lucas Sequence Calculator Features

U_n and V_n
Custom P,Q
Special cases
Discriminant
Identities

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