List questions from generating-functions

Published on 08 Apr 2026 - 0:05

93

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Literature on generating functions for networks

Published on 27 Apr 2016 - 4:37

55

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Understanding the equality $x^k(1-x)^{-k} = \sum_{n = k}^{\infty}{{n-1}\choose{k-1}}x^n$

Published on 27 Apr 2016 - 6:15

703

Views

Recurrence Relation With Non-constant Coefficient

Published on 27 Apr 2016 - 8:03

751

Views

Proving the closed form of a generating function of the sum of n lucas numbers is equal to the n+2th lucas number

Published on 06 Apr 2026 - 14:42

184

Views

Counting the number of ways (variants)

Published on 02 Apr 2026 - 18:47

1.9k

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A sum of Stirling numbers of the second kind

Published on 28 Mar 2026 - 12:14

390

Views

Exponential generating function and Fibonacci

Published on 08 Apr 2026 - 18:05

173

Views

Reference for Coefficient Extraction of Multiple Sum

Published on 07 Apr 2026 - 19:24

76

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Find the generating function for the recurrence $a_n=a_{n-1}-a_{n-2}$, with $a_0=0$ and $a_1=1.$

Published on 04 May 2016 - 14:55

500

Views

How to develop a formula for a function?

Published on 05 May 2016 - 15:59

3k

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Determine the number of ways $12$ identical action figures can be given to $5$ children so that each child receives at most $3$ action figures

Published on 06 May 2016 - 7:15

109

Views

Luis Suarez goalscoring record.

Published on 02 Apr 2026 - 20:19

197

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Coefficient of generating function in two variables

Published on 08 May 2016 - 12:49

96

Views

Finding a generating function for $\{(n+2)C_{n+1}\}^\infty_{n=0}$

Published on 29 Mar 2026 - 4:48

List Question

Help resolving particular solution to recurrence relation?

Literature on generating functions for networks

Understanding the equality $x^k(1-x)^{-k} = \sum_{n = k}^{\infty}{{n-1}\choose{k-1}}x^n$

Recurrence Relation With Non-constant Coefficient

Proving the closed form of a generating function of the sum of n lucas numbers is equal to the n+2th lucas number

Counting the number of ways (variants)

A sum of Stirling numbers of the second kind

Exponential generating function and Fibonacci

Reference for Coefficient Extraction of Multiple Sum

Find the generating function for the recurrence $a_n=a_{n-1}-a_{n-2}$, with $a_0=0$ and $a_1=1.$

How to develop a formula for a function?

Determine the number of ways $12$ identical action figures can be given to $5$ children so that each child receives at most $3$ action figures

Luis Suarez goalscoring record.

Coefficient of generating function in two variables

Finding a generating function for $\{(n+2)C_{n+1}\}^\infty_{n=0}$

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