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  2. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    In mathematics, the Fibonacci sequence is a sequence in which each term is the sum of the two terms that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers , commonly denoted F n .

  3. Fibonacci numbers in popular culture - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_numbers_in...

    The Fibonacci sequence is frequently referenced in the 2001 book The Perfect Spiral by Jason S. Hornsby. A youthful Fibonacci is one of the main characters in the novel Crusade in Jeans (1973). He was left out of the 2006 movie version, however. The Fibonacci sequence and golden ratio are briefly described in John Fowles's 1985 novel A Maggot.

  4. Lateralus (song) - Wikipedia

    en.wikipedia.org/wiki/Lateralus_(song)

    It began linking up to the Fibonacci sequence." The syllables Maynard sings in the first verse follow the first six numbers in the pattern, ascending and descending in the sequence 1-1-2-3-5-8-5-3. "Black (1), then (1), white are (2), all I see (3), in my infancy (5). Red and yellow then came to be (8), reaching out to me (5). Lets me see (3 ...

  5. Generalizations of Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of...

    A Fibonacci sequence of order n is an integer sequence in which each sequence element is the sum of the previous elements (with the exception of the first elements in the sequence). The usual Fibonacci numbers are a Fibonacci sequence of order 2.

  6. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci

    In the Fibonacci sequence, each number is the sum of the previous two numbers. Fibonacci omitted the "0" and first "1" included today and began the sequence with 1, 2, 3, ... . He carried the calculation up to the thirteenth place, the value 233, though another manuscript carries it to the next place, the value 377.

  7. Pisano period - Wikipedia

    en.wikipedia.org/wiki/Pisano_period

    Plot of the first 10,000 Pisano periods. In number theory, the nth Pisano period, written as π (n), is the period with which the sequence of Fibonacci numbers taken modulo n repeats.

  8. Fibonacci prime - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_prime

    That is to say, the Fibonacci sequence is a divisibility sequence. F p is prime for 8 of the first 10 primes p; the exceptions are F 2 = 1 and F 19 = 4181 = 37 × 113. However, Fibonacci primes appear to become rarer as the index increases. F p is prime for only 26 of the 1229 primes p smaller than 10,000. [3]

  9. Category:Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Fibonacci_numbers

    This page was last edited on 14 September 2019, at 05:01 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.