Fibonacci numbers

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:alsoKnownAs gptkb:Fibonacci_sequence
gptkbp:appearsIn gptkb:Liber_Abaci
gptkbp:application gptkb:art
gptkb:mathematics
computer science
finance
nature
gptkbp:definedIn recurrence relation
gptkbp:first_terms 0
1
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144
gptkbp:form gptkb:Binet's_formula
gptkbp:growthForm exponential
https://www.w3.org/2000/01/rdf-schema#label Fibonacci numbers
gptkbp:limitOfRatio golden ratio (approximately 1.618)
gptkbp:moduloProperty periodic modulo n
gptkbp:namedAfter gptkb:Leonardo_of_Pisa
gptkbp:OEIS gptkb:A000045
gptkbp:property appears in phyllotaxis
appears in Pascal's triangle
appears in rabbit population model
appears in spiral patterns
each number is sum of two preceding numbers
sum of previous two numbers
gptkbp:recurrence F(n) = F(n-1) + F(n-2)
gptkbp:relatedTo gptkb:golden_ratio
gptkbp:bfsParent gptkb:Number_theory
gptkbp:bfsLayer 5