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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 element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers , commonly denoted F n .

  3. List of Martin Gardner Mathematical Games columns - Wikipedia

    en.wikipedia.org/wiki/List_of_Martin_Gardner...

    A new collection of short problems and the answers to some of "life's" 1970 Dec: The paradox of the nontransitive dice and the elusive principle of indifference 1971 Jan: Lessons from Dr. Matrix in chess and numerology 1971 Feb: On cellular automata, self-reproduction, the Garden of Eden and the game "life" 1971 Mar

  4. 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.

  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. Random Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Random_Fibonacci_sequence

    A random Fibonacci sequence is an integer random sequence given by the numbers for natural numbers, where = = and the subsequent terms are chosen randomly according to the random recurrence relation = {+,;,. An instance of the random Fibonacci sequence starts with 1,1 and the value of the each subsequent term is determined by a fair coin toss: given two consecutive elements of the sequence ...

  7. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    In 1202, Leonardo Fibonacci introduced the Fibonacci sequence to the western world with his book Liber Abaci. [5] Fibonacci presented a thought experiment on the growth of an idealized rabbit population. [6] Johannes Kepler (1571–1630) pointed out the presence of the Fibonacci sequence in nature, using it to explain the pentagonal form of ...

  8. Constant-recursive sequence - Wikipedia

    en.wikipedia.org/wiki/Constant-recursive_sequence

    The Fibonacci sequence is constant-recursive: each element of the sequence is the sum of the previous two. Hasse diagram of some subclasses of constant-recursive sequences, ordered by inclusion In mathematics , an infinite sequence of numbers s 0 , s 1 , s 2 , s 3 , … {\displaystyle s_{0},s_{1},s_{2},s_{3},\ldots } is called constant ...

  9. 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]

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