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  2. Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Coupon_collector's_problem

    Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more ...

  3. Central binomial coefficient - Wikipedia

    en.wikipedia.org/wiki/Central_binomial_coefficient

    The central binomial coefficient is the number of arrangements where there are an equal number of two types of objects. For example, when , the binomial coefficient is equal to 6, and there are six arrangements of two copies of A and two copies of B: AABB, ABAB, ABBA, BAAB, BABA, BBAA . The same central binomial coefficient is also the number ...

  4. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    The Pell numbers have P n = 2P n1 + P n2. If the coefficient of the preceding value is assigned a variable value x, the result is the sequence of Fibonacci polynomials. Not adding the immediately preceding numbers. The Padovan sequence and Perrin numbers have P(n) = P(n2) + P(n3).

  5. Shortcuts.com has printable coupons - AOL

    www.aol.com/news/2010-05-04-shortcuts-com-has...

    The online grocery coupon site Shortcuts.com now has printable coupons. Previously, you could only add coupons electronically to your store loyalty card, which is still a cool feature. Shortcuts ...

  6. Faulhaber's formula - Wikipedia

    en.wikipedia.org/wiki/Faulhaber's_formula

    Faulhaber's formula concerns expressing the sum of the p -th powers of the first n positive integers as a ( p + 1)th-degree polynomial function of n . The first few examples are well known. For p = 0, we have For p = 1, we have the triangular numbers For p = 2, we have the square pyramidal numbers. The coefficients of Faulhaber's formula in its ...

  7. Mersenne prime - Wikipedia

    en.wikipedia.org/wiki/Mersenne_prime

    Mersenne primes (of form 2^ p − 1 where p is a prime) In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n1 for some integer n. They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century.

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