Lucas number

noun

Any member of an integer sequence that has the same recursive relationship as the Fibonacci sequence, i.e. each term is the sum of the two previous terms, but with different starting values such that the ratios of successive terms approach the golden ratio.

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Meanings

nounLucas number (plural Lucas numbers)

plural Lucas numbers

  1. Any member of an integer sequence that has the same recursive relationship as the Fibonacci sequence, i.e. each term is the sum of the two previous terms, but with different starting values such that the ratios of successive terms approach the golden ratio.

Origin

Named after the mathematician François Édouard Anatole Lucas.

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Cite this entry
APA

Lucas number. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Lucas%20number

MLA

“Lucas number.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lucas%20number. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lucas number,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Lucas%20number.

Source: Lucas number on Wiktionary, CC BY-SA 4.0.