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Generating function: number of partitions that add up to at most $n$

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#combinatorics #generating-functions #integer-partitions
458
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Basic question about Markov Chain stationary distribution using generating functions

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#markov-chains #generating-functions
298
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Determining Stirling number

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#combinatorics #generating-functions #integer-partitions #stirling-numbers
116
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Generating function for the number of choices $I,J\!\subseteq[n]$ such that $\max\,[n]\!\setminus\!(I\!\cup\!J) < \max I\!\cap\!J$

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#combinatorics #discrete-mathematics #homological-algebra #generating-functions
303
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Generating function with quadratic coefficients.

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#combinatorics #generating-functions #wolfram-alpha
788
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Number of distributions of $r$ distinct objects into $n$ different boxes

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#combinatorics #generating-functions
92
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Rational polynomial from coefficents

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#polynomials #power-series #generating-functions
59.7k
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The generating function for the Fibonacci numbers

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#sequences-and-series #combinatorics #generating-functions #fibonacci-numbers
217
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Coefficients of Generating Functions

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#combinatorics #power-series #generating-functions
153
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Generating function from recursion with division by index $n$

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#combinatorics #generating-functions
688
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How to prove it? (one of the Rogers-Ramanujan identities)

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#combinatorics #sequences-and-series #generating-functions #integer-partitions #q-analogs
91
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How to solve this kind of problems?

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#combinatorics #generating-functions
1.9k
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Using Generating Functions to Solve Recursions

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#recurrence-relations #power-series #generating-functions
79
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Evaluating 8th derivative of $(e^x-1)^6$ at $x=0$

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#combinatorics #generating-functions
1.3k
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Determine the number of ways to color a 1-by-n chessboard with the colors red, blue, green and orange.

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#combinatorics #generating-functions

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