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Proving Identities using Partition and Generating Function

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#combinatorics #generating-functions #integer-partitions #algebraic-combinatorics
67
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Stirling numbers of the second kind -- a series-expansion typo?

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#sequences-and-series #combinatorics #generating-functions #stirling-numbers
1.6k
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Exponential Generating Function for Permutation with no Fixed Points

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#combinatorics #permutations #generating-functions
123
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Getting $(\frac{1-x^{6}}{1-x})^3$ from $(1 + x + x^2 + x^3+ x^4+ x^5)^3$ using generating functions

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#combinatorics #generating-functions
665
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How to create a generating function that only includes multiples of 4?

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#sequences-and-series #combinatorics #generating-functions
82
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Getting $(1-3x^6 + 3x^{12} - x^{18}) \sum_{i=0}^{\infty} \binom{i+2}{2} x^{i}$ from $(\frac{1-x^{6}}{1-x})^3$ using generating functions

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#combinatorics #generating-functions
151
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Correctness of counting with product of generating functions

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#combinatorics #discrete-mathematics #generating-functions
52
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Evaluation of formal series

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#combinatorics #power-series #generating-functions
364
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Using exponential generating functions to solve recurrence equations

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#ordinary-differential-equations #generating-functions
222
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Exponential generating function of product

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#generating-functions #bernoulli-numbers
1.2k
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How many 10-letter words are there in which each of the letters e,n,r,s occur at most once?

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#combinatorics #generating-functions
3k
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Show $e^x / (1 - x)^n$ is the exponential generating function for a specified sequence

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#combinatorics #discrete-mathematics #generating-functions
132
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A Difficult Recursive Equation

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#combinatorics #recurrence-relations #generating-functions #recursive-algorithms
348
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Solving a 2 independent variables (2nd degree) recurrence relation

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#functions #recurrence-relations #generating-functions #closed-form
405
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exponential generating function for bernoulli numbers

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#exponential-function #generating-functions #bernoulli-numbers

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