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  1. The Lucas Numbers - University of Surrey

    www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/lucasNbs.html翻譯此頁

    The Lucas numbers or Lucas series, and their fascinating connections with the Fibonacci numbers and the golden section. The first 200 Lucas numbers, and lots of investigations and You do the maths... to find your own formulas and patterns in the series. For schools, teachers, colleges and university level students or just for recreation!

  2. Édouard Lucas - Wikipedia

    https://en.wikipedia.org/wiki/Edouard_Lucas翻譯此頁

    François Édouard Anatole Lucas was a French mathematician. Lucas is known for his study of the Fibonacci sequence. The related Lucas sequences and Lucas numbers are named after him.

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  3. Fibonacci number - Wikipedia

    https://en.wikipedia.org/wiki/Fibonacci_sequence翻譯此頁

    In mathematics, the Fibonacci numbers, commonly denoted Fn form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is,
    and
    for n > 1.
    One has F2 = 1. In some books, and particularly in old ones, F0, the "0" is omitted, and the Fibonacci s…

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  4. Lucas number - Wikipedia

    https://en.wikipedia.org/wiki/Lucas_number翻譯此頁

    Similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a Fibonacci integer sequence.The first two Lucas numbers are L 0 = 2 and L 1 = 1 as opposed to the first two Fibonacci numbers F 0 = 0 and F 1 = 1. Though closely related in definition, Lucas and Fibonacci numbers exhibit distinct properties.

  5. Introduction to the Fibonacci and Lucas numbers

    functions.wolfram.com/IntegerFunctions/Fibonacci/...翻譯此頁

    Introduction to the Fibonacci and Lucas numbers. Poles and essential singularities. The Fibonacci and Lucas numbers and have only the singular point .It is an essential singular point.

  6. ÉDOUARD LUCAS - University of Evansville

    https://faculty.evansville.edu/ck6/bstud/lucas.html翻譯此頁

    Édouard Lucas, The Theory of Simply Periodic Numerical Functions, first published in American Journal of Mathematics 1 (1878) 184-240, 289-321; translated by Sidney Kravity, edited by Douglas Lind, and republished by the Fibonacci Association, 1969.

  7. Édouard Lucas (1842 - 1891)

    mathshistory.st-andrews.ac.uk/Biographies/Lucas.html翻譯此頁

    Édouard Lucas was educated at the École Normale in Amiens. ... in particular he studied the Fibonacci sequence and the associated Lucas sequence is named after him. He gave the well-known formula for the Fibonacci numbers ... This remains the largest prime number discovered without the …

  8. Édouard Lucas | French mathematician | Britannica

    https://www.britannica.com/biography/Edouard-Lucas翻譯此頁

    In number game: The Tower of Hanoi …1883 by the French mathematician Édouard Lucas, though his role in its invention has been disputed. Ever popular, made of wood or plastic, it still can be found in toy shops. It consists essentially of three pegs fastened to a stand and of eight circular disks, each having a hole… Read More; Fibonacci ...

  9. Lucas number | Large Numbers Wiki | FANDOM powered by Wikia

    https://large-numbers.fandom.com/wiki/Lucas_number翻譯此頁
    • The Lucas numbers or Lucas series are an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–91), who studied both that sequence and the closely related Fibonacci numbers. Lucas numbers and Fibonacci numbers form complementary instances of Lucas sequences.
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  10. What Is the Fibonacci Sequence? | Live Science

    https://www.livescience.com/37470-fibonacci-sequence.html翻譯此頁

    The Fibonacci sequence is one of the most famous formulas in mathematics. Each number in the sequence is the sum of the two numbers that precede it. ... French mathematician Édouard Lucas ...

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