Statements (77)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:DJ
|
| gptkbp:0to60 |
gptkb:18
123 18. 1141851. 15127. 271443. 27808625823. 33097282. 9349. |
| gptkbp:application |
used in number theory.
|
| gptkbp:defines |
a sequence of numbers defined by a recurrence relation similar to the Fibonacci sequence.
|
| gptkbp:first_holder |
gptkb:musical
|
| gptkbp:form |
L(n) = (phi^n + psi^n) where phi and psi are the roots of x^2 -x -1.
|
| gptkbp:has_property |
they are integer sequences.
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lucas sequences
|
| gptkbp:iso639-3 |
gptkb:4
|
| gptkbp:number |
gptkb:television_series
gptkb:11 29 47 123. 4. 3. 29. 76. 10612215722. 140830724. 1551968307. 17196410101. 199. 368325151. 4068081343. 53566521. 595819578. 6584194379. 964144729. L(n) = F(n) + 2 F(n-1) where F is the Fibonacci sequence. |
| gptkbp:number_of_episodes |
103682.
64079. |
| gptkbp:number_of_pieces |
11.
7. 47. 12628043. 1364. 167761. 1852498. 20469239. 2207. 227494427. 24476. 2516113036. 2994349. 322. 3571. 39603. 439204. 4846847. 521. 5778. 710647. 7841196. 843. 86663703. |
| gptkbp:operator |
2
|
| gptkbp:papal_bull |
(1 + sqrt(5)) / 2.
|
| gptkbp:relationship |
Lucas numbers are related to Fibonacci numbers.
|
| gptkbp:sensor |
(1 -sqrt(5)) / 2.
|
| gptkbp:sequel |
gptkb:3
|
| gptkbp:series |
2.
1. G(x) = (2 -x) / (1 -x -x^2). L(n) = L(n-1) + L(n-2) for n > 1. |
| gptkbp:term_end |
gptkb:musical
2 |
| gptkbp:bfsParent |
gptkb:Jean-Karl_Lucas
|
| gptkbp:bfsLayer |
5
|