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  2. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted F n ... [29] [30] + =. This convergence holds ...

  3. Generalizations of Fibonacci numbers - Wikipedia

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

    A repfigit, or Keith number, is an integer such that, when its digits start a Fibonacci sequence with that number of digits, the original number is eventually reached. An example is 47, because the Fibonacci sequence starting with 4 and 7 (4, 7, 11, 18, 29, 47) reaches 47.

  4. Fibonacci - Wikipedia

    en.wikipedia.org/wiki/Fibonacci

    The solution, generation by generation, was a sequence of numbers later known as Fibonacci numbers. Although Fibonacci's Liber Abaci contains the earliest known description of the sequence outside of India, the sequence had been described by Indian mathematicians as early as the sixth century. [30] [31] [32] [33]

  5. Pisano period - Wikipedia

    en.wikipedia.org/wiki/Pisano_period

    For generalized Fibonacci sequences (satisfying the same recurrence relation, but with other initial values, e.g. the Lucas numbers) the number of occurrences of 0 per cycle is 0, 1, 2, or 4. The ratio of the Pisano period of n and the number of zeros modulo n in the cycle gives the rank of apparition or Fibonacci entry point of n .

  6. List of largest known primes and probable primes - Wikipedia

    en.wikipedia.org/wiki/List_of_largest_known...

    Numbers with more than 2,000,000 digits are shown. ... 30 4×5 8431178 + 1 2 January 2024 ... is the nth Fibonacci number. Rank [103]

  7. Liber Abaci - Wikipedia

    en.wikipedia.org/wiki/Liber_Abaci

    A page of the Liber Abaci from the National Central Library.The list on the right shows the numbers 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 (the Fibonacci sequence).

  8. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758: Extravagant numbers: 4, 6, 8, 9, 12, 18, 20, 22, 24, 26, 28, 30, 33, 34, 36, 38, ... A number that has fewer digits than the number of digits in its prime factorization (including ...

  9. Category:Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Fibonacci_numbers

    Pages in category "Fibonacci numbers" The following 48 pages are in this category, out of 48 total. This list may not reflect recent changes. ...