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  2. Continuant (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Continuant_(mathematics)

    The continuant (,, …,) can be computed by taking the sum of all possible products of x 1,...,x n, in which any number of disjoint pairs of consecutive terms are deleted (Euler's rule). For example,

  3. Gilbreath's conjecture - Wikipedia

    en.wikipedia.org/wiki/Gilbreath's_conjecture

    Gilbreath's conjecture is a conjecture in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime numbers and leaving the results unsigned, and then repeating this process on consecutive terms in the resulting sequence, and so forth.

  4. Primes in arithmetic progression - Wikipedia

    en.wikipedia.org/wiki/Primes_in_arithmetic...

    Consecutive primes in arithmetic progression refers to at least three consecutive primes which are consecutive terms in an arithmetic progression. Note that unlike an AP-k, all the other numbers between the terms of the progression must be composite. For example, the AP-3 {3, 7, 11} does not qualify, because 5 is also a prime.

  5. 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 ...

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    Discover the best free online games at AOL.com - Play board, card, casino, puzzle and many more online games while chatting with others in real-time.

  7. Telescoping series - Wikipedia

    en.wikipedia.org/wiki/Telescoping_series

    In mathematics, a telescoping series is a series whose general term is of the form = +, i.e. the difference of two consecutive terms of a sequence (). As a consequence the partial sums of the series only consists of two terms of ( a n ) {\displaystyle (a_{n})} after cancellation.