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Cassini's identity and Catalan's identity are mathematical identities for the Fibonacci numbers. Cassini's identity, a special case of Catalan's identity, states that for the nth Fibonacci number,
Note here F 0 {\displaystyle F_{0}} is taken to be 0, and F 1 {\displaystyle F_{1}} is taken to be 1.
Catalan's identity generalizes this:
Vajda's identity generalizes this:
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