Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
closed-form expression for Fibonacci numbers
|
| gptkbp:appliesTo |
gptkb:Fibonacci_sequence
|
| gptkbp:category |
integer sequences
recurrence relations |
| gptkbp:describes |
nth Fibonacci number
|
| gptkbp:expressedIn |
F(n) = (phi^n - psi^n) / (phi - psi)
|
| gptkbp:field |
gptkb:mathematics
number theory combinatorics |
| gptkbp:firstPublished |
1843
|
| https://www.w3.org/2000/01/rdf-schema#label |
Binet's formula
|
| gptkbp:location |
phi = (1 + sqrt(5))/2
psi = (1 - sqrt(5))/2 |
| gptkbp:namedAfter |
gptkb:Jacques_Philippe_Marie_Binet
|
| gptkbp:uses |
gptkb:golden_ratio
|
| gptkbp:bfsParent |
gptkb:Fibonacci_numbers
gptkb:Fibonacci_sequence |
| gptkbp:bfsLayer |
6
|