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Finding a moment generating function

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#probability #generating-functions
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Does $a_0=0, a_1=1, a_{n+2}=2a_{n+1}-3a_n$ ever return to 1 or -1 for $n>3$?

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#number-theory #recurrence-relations #asymptotics #generating-functions
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Generating Functions and closed form

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#sequences-and-series #generating-functions #closed-form
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Trivial Question : generating function

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#generating-functions
244
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How to find an exponential generating function if we know a usual generating function?

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#combinatorics #generating-functions
125
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A combinatorial identity No. 2

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#combinatorics #discrete-mathematics #generating-functions
99
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Writing the Equation to an Unknown Function?

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#generating-functions
242
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Using generating functions to solve a distribution of distinct objects.

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#sequences-and-series #combinatorics #generating-functions #combinations
78
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Generating function for writing an even number as a sum of at most k squares

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#elementary-number-theory #generating-functions #integer-partitions
305
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conjectured new generating function of fibonacci numbers

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#elementary-number-theory #generating-functions #fibonacci-numbers #continued-fractions #conjectures
335
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a conjectured new generating function of narayana's sequence

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#sequences-and-series #number-theory #generating-functions #continued-fractions #conjectures
621
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probability generating function for multivariate distribution

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#probability #statistics #probability-distributions #generating-functions
56
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How to find the distribution from a given form of generating function

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#probability-distributions #generating-functions
188
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Find number of nonnegative integer solutions to x+3y+3z=n, given n, using generating functions

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#discrete-mathematics #generating-functions
46
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Comparison of bivariate generating functions

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#sequences-and-series #generating-functions

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