Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:application |
number theory
combinatorics |
| gptkbp:category |
integer sequences
recurrence relations |
| gptkbp:discoveredBy |
gptkb:Édouard_Lucas
|
| gptkbp:first_terms |
2
1 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ... |
| gptkbp:hasGeneratingFunction |
(2-x)/(1-x-x^2)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lucas numbers
|
| gptkbp:namedAfter |
gptkb:Édouard_Lucas
|
| gptkbp:OEIS |
gptkb:A000032
|
| gptkbp:property |
integer sequence
closedFormExpression each term is sum of previous two terms |
| gptkbp:recurrence |
L(n) = L(n-1) + L(n-2)
|
| gptkbp:relatedTo |
gptkb:Fibonacci_numbers
|
| gptkbp:bfsParent |
gptkb:Number_theory
|
| gptkbp:bfsLayer |
5
|