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Holonomic generating function

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#combinatorics #generating-functions #rational-functions
123
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asymptotic behavior of $\displaystyle{\sum_{r = 0}^k} { 2k - r \choose k} x^r $ for large $k$

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#combinatorics #asymptotics #generating-functions #hypergeometric-function
60
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How to solve for special case of this equation

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#polynomials #roots #generating-functions #factoring
113
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Number of $n$-permutations with repetition where $k$ occurs an odd number of times.

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#combinatorics #permutations #generating-functions
46
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The number of ways in which $n$ different things can be distributed into $r$ different groups is coefficient of $x^n$ in $n!(e^x-1)^r$?

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#abstract-algebra #generating-functions
412
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Finding coefficient of $x_n$ term in exponential generating functions

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#combinatorics #recurrence-relations #taylor-expansion #generating-functions
210
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Permanent generating function identity for $\exp{\mathbf{x^{T}}A\mathbf{y}}$

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#combinatorics #determinant #generating-functions #permanent
54
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Best way to think about the formalizatoin of exponential generating functions\generating function

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#complex-analysis #soft-question #generating-functions
120
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Non negative solutions and generating functions

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#combinatorics #generating-functions #binomial-theorem
158
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Generating functions for the solutions to $3x_1 + x_2 = n$

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#combinatorics #generating-functions #binomial-theorem
29
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Generating function for $\sum{\sqrt{n^2+n}x^na_n}$ if $\sum x^{n+1}a_{n+1} = A(x)$

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#sequences-and-series #generating-functions
157
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Sequences solutions with generating functions

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#combinatorics #recurrence-relations #generating-functions #binomial-theorem
39
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Why do individual terms go till infinity in a generating function even when a limit is specified?

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#discrete-mathematics #generating-functions
393
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Finding generating function for a given sequence

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#combinatorics #generating-functions #binomial-theorem
75
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$5$ kids toss one die each. Find the number of ways that the sum of dice points is $22$.

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#combinatorics #generating-functions

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