Catalan's identity
mathematical identity, generalizing Cassini's: F_n^2 - F_{n - r}F_{n + r} = (-1)^{n - r}F_r^2
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Catalan's identity
Summary
Catalan's identity is a theorem[1].
Key Facts
- Catalan's identity's instance of is recorded as theorem[2].
- Catalan's identity's instance of is recorded as identity[3].
- Eugène Charles Catalan is named after Catalan's identity[4].
- Catalan's identity's defining formula is recorded as F_n^2 - F_{n - r}F_{n + r} = (-1)^{n - r}F_r^2[5].
- Catalan's identity's MathWorld ID is recorded as CatalansIdentity[6].
- Catalan's identity's maintained by WikiProject is recorded as WikiProject Mathematics[7].
- Catalan's identity's in defining formula is recorded as F_n[8].