List questions from generating-functions

Published on 26 Mar 2026 - 21:27

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Generating function for planted planar trees

Published on 27 Mar 2026 - 7:20

77

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Is there a closed form expansion for $(2^k + 1)^{k+1}$?

Published on 26 May 2014 - 22:30

61

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Generating function for this series

Published on 27 May 2014 - 14:22

474

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Generating function for vertices distance from the root in a planar tree

Published on 27 Mar 2026 - 3:46

209

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Generating functions for sequences

Published on 28 May 2014 - 4:32

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does this sequence of functions converges uniformly to Dirichlet function?

Published on 28 May 2014 - 23:57

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Harmonic Numbers series I

Published on 25 Mar 2026 - 12:15

168

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Number of ways to fill a bag of weight $N$ with fruits - Generating series question

Published on 01 Jun 2014 - 16:32

109

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$\sum_{k=1}^{n}\dfrac{(-1)^{k+1}}{k}{n\choose k}=\sum_{k=1}^n\dfrac{1}{k}$

Published on 01 Jun 2014 - 23:34

502

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Puzzle with character order

Published on 02 Jun 2014 - 23:21

658

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Prove that $\exp(\log(\frac{1}{1-x})) = \frac{1}{1-x}$

Published on 03 Jun 2014 - 5:07

147

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How to translate $\sum_n \frac{x^n}{a_n}$ into a generating function

Published on 04 Jun 2014 - 16:41

535

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Number of nodes with an even number of children in an ordered tree (AKA Plane Planted Tree)

Published on 05 Jun 2014 - 7:55

92

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Generating functions over $\mathbb{Z}$

Published on 06 Jun 2014 - 12:39

List Question

Are there further transformation principles similar to the Inclusion-Exclusion Principle (IEP)?

Generating function for planted planar trees

Is there a closed form expansion for $(2^k + 1)^{k+1}$?

Generating function for this series

Generating function for vertices distance from the root in a planar tree

Generating functions for sequences

does this sequence of functions converges uniformly to Dirichlet function?

Harmonic Numbers series I

Number of ways to fill a bag of weight $N$ with fruits - Generating series question

$\sum_{k=1}^{n}\dfrac{(-1)^{k+1}}{k}{n\choose k}=\sum_{k=1}^n\dfrac{1}{k}$

Puzzle with character order

Prove that $\exp(\log(\frac{1}{1-x})) = \frac{1}{1-x}$

How to translate $\sum_n \frac{x^n}{a_n}$ into a generating function

Number of nodes with an even number of children in an ordered tree (AKA Plane Planted Tree)

Generating functions over $\mathbb{Z}$

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