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How can I determine the sequence generated by a generating function?

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#discrete-mathematics #generating-functions
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The sum $\sum_{j=0}^n \binom{n}{j} \left\{ j \atop k \right\} x^j$

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#combinatorics #binomial-coefficients #recurrence-relations #generating-functions #stirling-numbers
172
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algebraic expression for a counting function

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#reference-request #induction #generating-functions #recurrence-relations #data-analysis
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How to solve second degree recurrence relation?

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#combinatorics #recurrence-relations #generating-functions #summation
342
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How to transform this infinite sum

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#combinatorics #sequences-and-series #generating-functions
73
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Geometric probability splitting

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#probability #generating-functions
199
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Simon Newcomb's problem

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#combinatorics #generating-functions #eulerian-numbers
266
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Use of Recursively Defined Functions

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#combinatorics #sequences-and-series #soft-question #generating-functions
178
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Understand variant kinds of generating functions?

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#generating-functions
1.3k
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How many solutions possible for the equation ${2x}+{3y}+{7z}={r}$

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#combinatorics #discrete-mathematics #generating-functions
1k
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Recurrence relation for the number of strings of length $n$ in base $3$

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#discrete-mathematics #recurrence-relations #generating-functions
493
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Prove coefficient of geometric series

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#combinatorics #generating-functions
721
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Shifting of index in power series

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#combinatorics #generating-functions
4.7k
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Books/Resources on generating functions

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#combinatorics #reference-request #generating-functions
8.3k
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What is the formula for multiplication of two finite power series?

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#sequences-and-series #generating-functions

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