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Lucas number - traducción al ruso
![[[Blue plaque]] on factory building in Carver Street, Birmingham](https://commons.wikimedia.org/wiki/Special:FilePath/Blue plaque Joseph Lucas.jpg?width=200 "[[Blue plaque]] on factory building in Carver Street, Birmingham")
.jpg?width=200 "Side Lamp, King of the Road, \"will not blow out in the toughest gale\"")
['lu:kəs,ɪndəstrɪz]
общая лексика
"Лукас индастриз" (крупная компания по производству электрооборудования для транспортных средств, в т.ч. для авиации. Основана в 1875)
![Russian chemist [[Dmitri Mendeleev]], creator of the periodic table.](https://commons.wikimedia.org/wiki/Special:FilePath/DIMendeleevCab.jpg?width=200 "Russian chemist [[Dmitri Mendeleev]], creator of the periodic table.")
![[[Henry Moseley]] in his lab.](https://commons.wikimedia.org/wiki/Special:FilePath/Henry Moseley.jpg?width=200 "[[Henry Moseley]] in his lab.")
![[[Niels Bohr]], creator of the [[Bohr model]].](https://commons.wikimedia.org/wiki/Special:FilePath/Niels Bohr.jpg?width=200 "[[Niels Bohr]], creator of the [[Bohr model]].")
Wikipedia
The Lucas sequence is an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and the closely related Fibonacci sequence. Individual numbers in the Lucas sequence are known as Lucas numbers. Lucas numbers and Fibonacci numbers form complementary instances of Lucas sequences.
The Lucas sequence has the same recursive relationship as the Fibonacci sequence, where each term is the sum of the two previous terms, but with different starting values. This produces a sequence where the ratios of successive terms approach the golden ratio, and in fact the terms themselves are roundings of integer powers of the golden ratio. The sequence also has a variety of relationships with the Fibonacci numbers, like the fact that adding any two Fibonacci numbers two terms apart in the Fibonacci sequence results in the Lucas number in between.
The first few Lucas numbers are
- 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, ... . (sequence A000032 in the OEIS)
