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Exponential Generating Function of guests at k tables

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#combinatorics #permutations #generating-functions
74
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Number of way to split $n$ people into nonempty committees with at least 1 chairperson

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#combinatorics #permutations #generating-functions
98
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How/why does this generating function approach work?

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#combinatorics #power-series #combinations #generating-functions
63
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Given the ordinary generating function $G(x) = \frac{1}{(1-x)(1-3x)}$ for some sequence $(a_{k})$, find $a_{k}$.

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#combinatorics #generating-functions
730
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Show that $G(s)=1-\alpha(1-s)^{\beta}$ is the probability generating function of a nonnegative integer valued random variable

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#probability #generating-functions
263
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Generating Function : Proof that $1 \over (1-4x)^2$ generates ${2n \choose n}$, $n\in N$

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#probability #combinatorics #discrete-mathematics #permutations #generating-functions
220
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Expressing $\sqrt{2}$ as closed form expression based on recurrence.

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#sequences-and-series #generating-functions #irrational-numbers
50
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Generating function for $a_{n+1}=10a_n+1$

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#proof-verification #generating-functions
430
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Ordinary Generating functions that occurs at most 3 times

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#combinatorics #generating-functions
40
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Generating functions and Weak Convergence

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#probability #generating-functions
367
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Deriving the asymptotic estimate (9.62) in Concrete Mathematics

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#discrete-mathematics #recurrence-relations #asymptotics #generating-functions
185
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Get closed form from a complicated closed-form generating function

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#taylor-expansion #generating-functions #closed-form
2.3k
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Exponential Generating Function for the number of sequences in A,B,C

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#combinatorics #permutations #generating-functions
84
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Trouble interpreting a generating function equation

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#combinatorics #generating-functions #symmetric-polynomials #bernoulli-numbers #symmetric-functions
94
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How to find this binomial summation

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#summation #binomial-coefficients #generating-functions

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