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Generating function of $a_{n} = n$

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#calculus #sequences-and-series #generating-functions #closed-form
379
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How to assemble rook polynomials?

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#combinatorics #polynomials #generating-functions
173
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Generating function for $a_n= a_{n-1}+2a_{n-2}$+3

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#combinatorics #generating-functions
68
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Generating Series and Recurrence Relation and Closed Form

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#combinatorics #recurrence-relations #generating-functions
89
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Evaluate $\sum\limits_{k=m}^n (-1)^k {n \choose k} {k \choose m}$

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#combinatorics #generating-functions
65
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Expressing $\frac {x^n}{(1-x)^n}$ as a generating function

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#combinatorics #generating-functions
71
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Closed form for generating functions

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#generating-functions
705
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Coefficients of (generating) function

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#combinatorics #generating-functions
1.7k
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Find a closed form of the generating function for $a(n) =3n^2+4n+5$, $n=0,1,2,....$

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#generating-functions
777
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Number of ways to throw at most 14 with 4 dice - generating functions

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#combinatorics #generating-functions
60
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What are the combinatorial numbers appearing in these repeated derivatives?

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#derivatives #generating-functions #integer-partitions
353
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Proof regarding a probability generating function (Poisson)

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#real-analysis #probability #functions #generating-functions #functional-equations
351
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Prove that using generating function:For any $n ,k\in N$, the number of partitions of $n$ into parts

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#combinatorics #generating-functions
978
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Probability Generating Function of Compound Poisson Process

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#probability-theory #generating-functions #poisson-distribution
61
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How to find a formula for these generating sequences?

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#sequences-and-series #combinatorics #discrete-mathematics #generating-functions

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