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15
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Converting Generating function to discrete numeric function.

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#discrete-mathematics #generating-functions #partial-fractions
397
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Combinatorics 1 by n tiling problem generating function

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#combinatorics #generating-functions #tiling #combinatorics-on-words
118
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Find number of permutations with 3 inversions

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#abstract-algebra #combinatorics #permutations #combinations #generating-functions
153
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Prove $\sum_{k=1}^{n}k^2\binom{n+k}{k}=\frac{n(n+1)^3\binom{2n+1}{n+1}}{(n+2)(n+3)}$

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#summation #binomial-coefficients #generating-functions #combinatorial-proofs
94
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Recurrence Relations using generating functions

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#recurrence-relations #generating-functions
34
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Solving a recurrence function with two variables

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#recurrence-relations #generating-functions
66
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Moment generating function of product of $k$ iid copies of a random variable which is a Rademacher sum

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#real-analysis #sequences-and-series #recurrence-relations #special-functions #generating-functions
128
Views

Search for an algebraic proof of a near q-Vandermonde identity.

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#generating-functions #q-analogs #q-series
76
Views

Why should $\mathcal{A}$ not have elements of size $0$ to form $\text{Seq}(\mathcal{A})$?

Published on
#combinatorics #generating-functions #analytic-combinatorics
49
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Closed form Shift

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#combinatorics #generating-functions #closed-form
51
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Expected Value of Balls Remaining in a Jar After Random Selection Process with Two Jars

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#probability #probability-theory #stochastic-processes #recurrence-relations #generating-functions
41
Views

What does it mean for a probability generating function to be an exponential function

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#probability #exponential-function #generating-functions
190
Views

Finding number of integer solutions by generating functions.

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#combinatorics #generating-functions #multinomial-coefficients
31
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Solving Recurrences using generating functions (inconsistency with characteristic equation)

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#generating-functions #multinomial-coefficients
178
Views

Understanding and verifying the formula for $\binom{T}{B}$

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#sequences-and-series #combinatorics #discrete-mathematics #probability-distributions #generating-functions

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