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Explaining the coefficients of matching polynomials

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#combinatorics #generating-functions #inclusion-exclusion
2.2k
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Partitions without twice odd numbers and where every odd number appears at most once

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#generating-functions #integer-partitions
123
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Find $a_{n}$ from a convolution formula

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#sequences-and-series #combinatorics #recurrence-relations #generating-functions #closed-form
670
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motivation for $1/(1-x)$ used in generating functions

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#generating-functions #formal-power-series
1.1k
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Counting problem: generating function using partitions of odd numbers and permuting them

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#combinatorics #permutations #generating-functions #integer-partitions
653
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How to prove the identity $\sum_{n\in\mathbb{Z}}J_n(x)\,J_{n+m}(x) = 0$ using the Bessel generating function?

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#generating-functions #bessel-functions
96
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Showing equivalence of two binomial expressions

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#combinatorics #binomial-coefficients #generating-functions
456
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Confusion about Generating Function of Restricted Partitions

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#combinatorics #generating-functions
254
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what are generating functions

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#generating-functions
190
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Special partition of a number $n$

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#combinatorics #generating-functions #integer-partitions
116
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Can one prove that a generating function has infinitely many coefficients equaling 0?

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#generating-functions
185
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Closed form of $\sum_{k=1}^{n}\binom{n}{k} h^{(n-k)}(0)f^{(k-1)}(0)$

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#derivatives #binomial-coefficients #generating-functions #closed-form
242
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Generating Function for Associated Stirling Numbers $b(n,k)$

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#real-analysis #combinatorics #power-series #generating-functions
87
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Question regarding an algebraic manipulation in GFology

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#combinatorics #generating-functions #proof-explanation
75
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Obtaining generating function via Fourier transform

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#fourier-analysis #generating-functions

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