Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:alsoKnownAs |
gptkb:Fibonacci_numbers
|
| gptkbp:appearsIn |
gptkb:Liber_Abaci
|
| gptkbp:application |
algorithm analysis
combinatorics financial markets biological settings |
| gptkbp:closedForm |
gptkb:Binet's_formula
|
| gptkbp:definedIn |
recurrence relation
|
| gptkbp:first_terms |
0
1 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 |
| gptkbp:generalizes |
gptkb:Lucas_sequence
|
| gptkbp:growthForm |
exponential
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fibonacci sequence
|
| gptkbp:moduloPeriodicity |
gptkb:Pisano_period
|
| gptkbp:namedAfter |
gptkb:Leonardo_of_Pisa
|
| gptkbp:nthTermFormula |
F(n) = F(n-1) + F(n-2)
|
| gptkbp:OEIS |
gptkb:A000045
|
| gptkbp:property |
appears in arrangement of bracts of pineapples
appears in arrangement of florets of cauliflower appears in arrangement of leaves appears in arrangement of petals in flowers appears in arrangement of pine cones appears in arrangement of scales of pineapples appears in arrangement of seeds in sunflowers appears in arrangement of spirals in animal horns appears in arrangement of spirals in animal shells appears in arrangement of spirals in artichokes appears in arrangement of spirals in cauliflowers appears in arrangement of spirals in galaxies appears in arrangement of spirals in hurricanes appears in arrangement of spirals in pine cones appears in arrangement of spirals in pineapples appears in arrangement of spirals in shells appears in arrangement of spirals in sunflowers appears in branching of trees appears in family tree of honeybees appears in flowering of artichoke appears in fruit sprouts of a pineapple appears in phyllotaxis appears in spiral patterns of shells ratio of consecutive terms approaches golden ratio sum of any two consecutive terms equals the next term appears in arrangement of fruitlets of a strawberry |
| gptkbp:relatedTo |
gptkb:golden_ratio
|
| gptkbp:usedIn |
gptkb:mathematics
computer science nature |
| gptkbp:bfsParent |
gptkb:Leonardo_Fibonacci
|
| gptkbp:bfsLayer |
5
|