List questions from generating-functions

Published on 27 Mar 2026 - 16:09

124

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Find $\text{E}(X2^X)$ for $X\sim\text{Po}(3)$

Published on 04 Jan 2018 - 14:38

70

Views

Is there any known recurence formula for this sequence $A214645$?

Published on 27 Mar 2026 - 16:03

88

Views

Determine the sum of $12 + 12 + 12 + \cdots + 12$ (there are n+1 terms) by using OGF

Published on 05 Jan 2018 - 4:20

114

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Generating functions - coefficient of $x^{27}$

Published on 05 Jan 2018 - 11:49

93

Views

Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$

Published on 05 Jan 2018 - 19:00

58

Views

How many solutions for an equation using generating functions

Published on 09 Apr 2026 - 20:05

345

Views

Find generating function for $x_1+x_2+x_3+x_4=n$ while that $x_1\ne x_2$ and $x_1\lt x_2$

Published on 06 Jan 2018 - 10:45

136

Views

Find the coefficient of $x^n$ in $\frac{x^4}{(1-x^2)(1-x)^2}$

Published on 06 Jan 2018 - 11:22

386

Views

generatingfunctionology on codewords

Published on 11 Apr 2026 - 3:02

64

Views

Estimation of geometric sum

Published on 12 Apr 2026 - 8:38

1.1k

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Infinite geometric sum (asking for insight on an easier solution)

Published on 08 Apr 2026 - 15:03

211

Views

Permutation of a sum - generating functions

Published on 10 Apr 2026 - 23:45

218

Views

Cospectral Graph Complements and Generating Function of Walks

Published on 25 Mar 2026 - 23:36

123

Views

Distributing 10 euros among 5 people

Published on 12 Apr 2026 - 11:34

List Question

Could be the radius of convergence $0$ for EGF if $b_n > n!$ for $n>n_{0}$?

Find $\text{E}(X2^X)$ for $X\sim\text{Po}(3)$

Is there any known recurence formula for this sequence $A214645$?

Determine the sum of $12 + 12 + 12 + \cdots + 12$ (there are n+1 terms) by using OGF

Generating functions - coefficient of $x^{27}$

Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$

How many solutions for an equation using generating functions

Find generating function for $x_1+x_2+x_3+x_4=n$ while that $x_1\ne x_2$ and $x_1\lt x_2$

Find the coefficient of $x^n$ in $\frac{x^4}{(1-x^2)(1-x)^2}$

generatingfunctionology on codewords

Estimation of geometric sum

Infinite geometric sum (asking for insight on an easier solution)

Permutation of a sum - generating functions

Cospectral Graph Complements and Generating Function of Walks

Distributing 10 euros among 5 people

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