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Convert an OGF to an EGF

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#generating-functions
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How do you find the coefficient of $x^i$ in $(x^0 + x^1 + \cdots + x^n)^k$?

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#combinatorics #generating-functions
6.6k
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Combination problem with constraints

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#combinatorics #group-theory #binomial-coefficients #permutations #generating-functions
228
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Generating sequences of numeric partitions

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#abstract-algebra #discrete-mathematics #convergence-divergence #generating-functions #integer-partitions
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A generating function for walks on a rooted infinite regular tree

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#combinatorics #graph-theory #generating-functions
558
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Two generating functions involving binomial coefficients

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#combinatorics #sequences-and-series #binomial-coefficients #generating-functions
492
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How to solve this recurrence using generating functions?

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#sequences-and-series #recurrence-relations #generating-functions
139
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Counting possibilities of building words

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#combinatorics #discrete-mathematics #generating-functions
11.5k
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Moment generating function of Gamma distribution

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#generating-functions #gamma-function
306
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What is $\mathbb C[a_1,a_2,a_3,\dots]/a(t)^2$ (where $a(t)$ is $a_1t+a_2t^2+\dots$)?

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#abstract-algebra #generating-functions
626
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Construction of generating function from identity

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#binomial-coefficients #generating-functions #fibonacci-numbers
169
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How to transform/expand a simple sum to prove equality of two sets?

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#functions #generating-functions
235
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$n$ identical boxes , $3$ different rooms in which they can be put. Each room can hold a maximum of 24 boxes.(do not have to use all the rooms)

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#combinatorics #generating-functions
1k
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finding the coefficient of $x^{14}$ in the expression: $\frac{5x^2-x^4}{(1-x)^3}$

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#combinatorics #generating-functions
941
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What is the asymptotic behavior of a linear recurrence relation (equiv: rational g.f.)?

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