List questions from generating-functions

Published on 21 Jul 2014 - 22:01

184

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Difficult generating function

Published on 30 Mar 2026 - 5:30

307

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Why does convolution not maintain asymptotic equality of coefficients?

Published on 28 Mar 2026 - 4:23

387

Views

Simplifying a generating function in two variables with two binomial coefficients

Published on 29 Jul 2014 - 17:38

271

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Count the number of ways n different-sided dice can add up to a given number

Published on 25 Mar 2026 - 9:28

91

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Lower bound for a relative of the central binomial coeff

Published on 30 Jul 2014 - 8:29

88

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Do asymptotically equivalent coefficients survive convolution at least in Θ?

Published on 28 Mar 2026 - 4:23

58

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Initial values appear from nothing

Published on 26 Mar 2026 - 1:09

148

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Relationship between $\sum\limits_{n=0}^\infty \frac{a_n x^n}{n!}$ and $\sum\limits_{n=0}^\infty \frac{a_n^2 x^n}{n!}$

Published on 03 Aug 2014 - 22:12

441

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Finding the general term for the sequence $a_n = \frac{3}{4}a_{n-1} +4e$

Published on 05 Aug 2014 - 14:23

49

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For each integer $s$, how many N-tuples with possible elements $\{0, 1, -1\}$ satisfy the condition that the sum of its elements is $s$?

Published on 07 Aug 2014 - 4:27

1.3k

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Use generating functions to prove Pascal’s identity

Published on 07 Aug 2014 - 4:55

215

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Finding the number of solutions to $x+2y+4z=400$

Published on 08 Aug 2014 - 12:34

234

Views

Find the probability generating function of a GW process

Published on 13 Aug 2014 - 1:45

99

Views

Explain this generating function

Published on 26 Mar 2026 - 13:07

List Question

Generating functions and closed form solution for fibonacci sequence

Difficult generating function

Why does convolution not maintain asymptotic equality of coefficients?

Simplifying a generating function in two variables with two binomial coefficients

Count the number of ways n different-sided dice can add up to a given number

Lower bound for a relative of the central binomial coeff

Do asymptotically equivalent coefficients survive convolution at least in Θ?

Initial values appear from nothing

Relationship between $\sum\limits_{n=0}^\infty \frac{a_n x^n}{n!}$ and $\sum\limits_{n=0}^\infty \frac{a_n^2 x^n}{n!}$

Finding the general term for the sequence $a_n = \frac{3}{4}a_{n-1} +4e$

For each integer $s$, how many N-tuples with possible elements $\{0, 1, -1\}$ satisfy the condition that the sum of its elements is $s$?

Use generating functions to prove Pascal’s identity

Finding the number of solutions to $x+2y+4z=400$

Find the probability generating function of a GW process

Explain this generating function

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