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Find generating function for the sequence 0, 0, 0, 0, 3, 4, 5, 6, ...

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#calculus #discrete-mathematics #summation #binomial-coefficients #generating-functions
184
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Find the sequence with f(x)=$3x^{2x}$ as the exponential generating function.

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#generating-functions
91
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Generating function for the sequence

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#sequences-and-series #combinatorics #discrete-mathematics #generating-functions
441
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How to derive a generating function when given a sequence

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#discrete-mathematics #generating-functions
54
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A truly puzzling generating function.

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#generating-functions
1.3k
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If X is a random variable with a Poisson distribution, rate parameter $\lambda$ show that...

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#statistics #stochastic-processes #generating-functions
163
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closed-form function for non linear recursive sequence

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#sequences-and-series #generating-functions #closed-form
31
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Large $k$ asymptotic of $\mathbb{P}[X=k]$, given the generating function $\mathbb{E}[z^X]$

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#probability #random-variables #asymptotics #generating-functions #distribution-tails
333
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Show that the survival probability $\gamma$ satisfies $ \gamma = 1 - e^{-\lambda \gamma} $

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#probability #generating-functions #poisson-distribution #random-graphs
313
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Find the generating function of a sequence $a_n$

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#combinatorics #generating-functions
308
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show that $ \ \sum_{n=0}^{\infty} \binom{2n}{n}x^n = \frac{1}{\sqrt{1-4x}} \ $

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#power-series #taylor-expansion #generating-functions
128
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Probability generating function of a distribution

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#probability #probability-theory #generating-functions
281
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Logarithmic generating function

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#polynomials #summation #generating-functions
213
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Compute central Delannoy number using Snake Oil

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#combinatorics #generating-functions
129
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Is there a formula involving multinomial coefficients , stirling numbers or similar terms?

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#combinatorics #diophantine-equations #generating-functions

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