List questions from generating-functions

Published on 10 Apr 2026 - 17:51

512

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Generating Function of Ordered Stirling Number of the Second Kind

Published on 29 Mar 2026 - 8:56

292

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Ordinary and Moment Generating Functions

Published on 12 Apr 2026 - 7:35

346

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Eulerian Polynomial Generating Function Proof

Published on 09 Apr 2026 - 15:41

87

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Let $G(x)=\frac{1}{(1-x)^2}$. Prove that $G(x)=\sum_{n=0}^{\infty}(n+1)x^n$.

Published on 09 Apr 2026 - 15:24

99

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Generating fuctions: $\sum_{k=0}^\infty \binom{2k}{k}\binom{n}{k}\left(-\frac{1}{4}\right)^k=2^{-2n}\binom{2n}{n}$

Published on 29 Nov 2017 - 16:21

108

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Is it a Geometric Sequence?

Published on 10 Apr 2026 - 21:40

44

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Application of Ordinary Generation Functions

Published on 12 Apr 2026 - 10:01

161

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Find the number of solutions of $a_0+a_1+a_2=17$ if $2\le a_0\le 5$, $3\le a_1\le 6$, $4\le a_2\le 7$.

Published on 12 Apr 2026 - 21:25

167

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Taylor series with logarithmic coefficients

Published on 13 Apr 2026 - 1:58

671

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Find the formula for the sequence $(a_n)$ that satisfies the recurrence relation $a_n=(n+7)a_{n-1}+n^2$ with $a_0=1$

Published on 04 Dec 2017 - 13:50

22

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Is there a conceptual derivation of the formula for the composition of two EGFs?

Published on 06 Dec 2017 - 0:27

488

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Convolution formula for multisets coefficients

Published on 26 Mar 2026 - 18:49

384

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Closed Walks Generating Functions in Cospectral Graphs

Published on 26 Mar 2026 - 1:07

212

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Operating with Exponential Generating Function

Published on 09 Apr 2026 - 5:22

List Question

Exponential Generating Function for Unordered Binary Trees

Generating Function of Ordered Stirling Number of the Second Kind

Ordinary and Moment Generating Functions

Eulerian Polynomial Generating Function Proof

Let $G(x)=\frac{1}{(1-x)^2}$. Prove that $G(x)=\sum_{n=0}^{\infty}(n+1)x^n$.

Generating fuctions: $\sum_{k=0}^\infty \binom{2k}{k}\binom{n}{k}\left(-\frac{1}{4}\right)^k=2^{-2n}\binom{2n}{n}$

Is it a Geometric Sequence?

Application of Ordinary Generation Functions

Find the number of solutions of $a_0+a_1+a_2=17$ if $2\le a_0\le 5$, $3\le a_1\le 6$, $4\le a_2\le 7$.

Taylor series with logarithmic coefficients

Find the formula for the sequence $(a_n)$ that satisfies the recurrence relation $a_n=(n+7)a_{n-1}+n^2$ with $a_0=1$

Is there a conceptual derivation of the formula for the composition of two EGFs?

Convolution formula for multisets coefficients

Closed Walks Generating Functions in Cospectral Graphs

Operating with Exponential Generating Function

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