List questions from generating-functions

Published on 09 Mar 2016 - 9:50

40

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To find the Generating function for the given case

Published on 09 Mar 2016 - 13:51

35

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Find $G_a$ in the following case ${a_n}={1\over{(n-1)(n+1)}}$ for $n\ge 2$

Published on 09 Mar 2016 - 16:24

32

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Find $G_a(x)$ for $a_n={4^{3n-5}\over3^{2n+4}}$

Published on 09 Mar 2016 - 16:57

35

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Finding a generating function for a sequence with two recurrence equations

Published on 09 Mar 2016 - 17:25

2.1k

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Solve the recurrence relation $a_n = 2a_{n-1} + 2^n$ with $a_0 = 1$ using generating functions

Published on 09 Mar 2016 - 17:54

880

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Convolution formula proof- Random discrete varaiables

Published on 09 Mar 2016 - 21:23

74

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A limit about $\prod_{k=0}^\infty\frac1{1-x^k}$

Published on 10 Mar 2016 - 13:50

105

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Weighted Q-binomial Coefficients

Published on 25 Mar 2026 - 14:24

410

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A volunteer coordinator has 30 identical chocolate chip cookies to distribute to six volunteers.

Published on 13 Mar 2016 - 23:21

1.2k

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Generating function question with an inequality and finding the closed form.

Published on 14 Mar 2016 - 0:10

59

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Proof gone wrong: Probability Generating functions.

Published on 16 Mar 2016 - 0:29

212

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Find closed formula for the recurrence $a_{n}=na_{n-1}+n(n-1)a_{n-2}$

Published on 06 Apr 2026 - 9:56

92

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Find closed formula for $a_{n+1}=(n+1)a_{n}+n!$

Published on 06 Apr 2026 - 9:53

36

Views

Arrangements with no anomalous neighborhoods

Published on 16 Mar 2016 - 23:32

List Question

To calculate generating function

To find the Generating function for the given case

Find $G_a$ in the following case ${a_n}={1\over{(n-1)(n+1)}}$ for $n\ge 2$

Find $G_a(x)$ for $a_n={4^{3n-5}\over3^{2n+4}}$

Finding a generating function for a sequence with two recurrence equations

Solve the recurrence relation $a_n = 2a_{n-1} + 2^n$ with $a_0 = 1$ using generating functions

Convolution formula proof- Random discrete varaiables

A limit about $\prod_{k=0}^\infty\frac1{1-x^k}$

Weighted Q-binomial Coefficients

A volunteer coordinator has 30 identical chocolate chip cookies to distribute to six volunteers.

Generating function question with an inequality and finding the closed form.

Proof gone wrong: Probability Generating functions.

Find closed formula for the recurrence $a_{n}=na_{n-1}+n(n-1)a_{n-2}$

Find closed formula for $a_{n+1}=(n+1)a_{n}+n!$

Arrangements with no anomalous neighborhoods

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