Question

Is generating function defined for every possible sequence?

score 32 · Answer 1 · 2023-05-19 14:18:18

32

Views

Is generating function defined for every possible sequence?

Published on 19 May 2023 - 14:18

score 54 · Answer 2 · 2026-03-25 03:00:59

54

Views

How to use the implicit function scheme on $T(z) = 1 + zT(z)^2$?

Published on 25 Mar 2026 - 3:00

score 66 · Answer 3 · 2026-04-01 14:31:43

66

Views

Recursion for counting valid strings (Generatingfunctionology chapter 1, problem 20)

Published on 01 Apr 2026 - 14:31

score 165 · Answer 4 · 2026-03-27 22:18:57

165

Views

Trying to understand a proof relating Stirling number of the second kind to its exponential generating function

Published on 27 Mar 2026 - 22:18

score 48 · Answer 5 · 2026-03-26 02:58:26

48

Views

inequality involving two dirichlet series

Published on 26 Mar 2026 - 2:58

score 84 · Answer 6 · 2026-02-23 07:37:37

84

Views

Generatingfunctionology chapter 1 exercise 10g

Published on 23 Feb 2026 - 7:37

score 62 · Answer 7 · 2026-02-23 13:38:40

62

Views

Showing that $\mathbb{P}(X_1=k) = \frac{(1-p)^k}{k\log(1/p)}\quad k\in\mathbb{N}$ is a distribution on $\mathbb{N}$

Published on 23 Feb 2026 - 13:38

score 100 · Answer 8 · 2023-05-30 20:30:44

100

Views

In how many ways can you withdraw $\$50$ from an ATM

Published on 30 May 2023 - 20:30

score 84 · Answer 9 · 2026-03-28 09:50:27

84

Views

Number of initial conditions required for a pair of multivariable recursion relations

Published on 28 Mar 2026 - 9:50

score 112 · Answer 10 · 2023-06-01 13:13:44

112

Views

How many five digit numbers that have the sum of digits equal to 25 with generating function

Published on 01 Jun 2023 - 13:13

score 43 · Answer 11 · 2023-06-01 14:41:25

43

Views

Probability generating function for the time of an event

Published on 01 Jun 2023 - 14:41

score 115 · Answer 12 · 2026-03-28 06:13:25

115

Views

Combinatorial argument for $\sum _{n=0}^\infty \binom{n}{k}y^n = \frac{y^k}{(1-y)^{k+1}}$

Published on 28 Mar 2026 - 6:13

score 56 · Answer 13 · 2023-06-03 07:54:41

56

Views

Closed form of a recurrence relation using generating functions.

Published on 03 Jun 2023 - 7:54

score 135 · Answer 14 · 2026-03-27 21:43:22

135

Views

How to expand a continued fraction generating function?

Published on 27 Mar 2026 - 21:43

score 168 · Answer 15 · 2026-03-25 04:42:44

168

Views

How to compute the expected degree of the root of Cayley and Catalan trees?

Published on 25 Mar 2026 - 4:42

List Question

Is generating function defined for every possible sequence?

How to use the implicit function scheme on $T(z) = 1 + zT(z)^2$?

Recursion for counting valid strings (Generatingfunctionology chapter 1, problem 20)

Trying to understand a proof relating Stirling number of the second kind to its exponential generating function

inequality involving two dirichlet series

Generatingfunctionology chapter 1 exercise 10g

Showing that $\mathbb{P}(X_1=k) = \frac{(1-p)^k}{k\log(1/p)}\quad k\in\mathbb{N}$ is a distribution on $\mathbb{N}$

In how many ways can you withdraw $\$50$ from an ATM

Number of initial conditions required for a pair of multivariable recursion relations

How many five digit numbers that have the sum of digits equal to 25 with generating function

Probability generating function for the time of an event

Combinatorial argument for $\sum _{n=0}^\infty \binom{n}{k}y^n = \frac{y^k}{(1-y)^{k+1}}$

Closed form of a recurrence relation using generating functions.

How to expand a continued fraction generating function?

How to compute the expected degree of the root of Cayley and Catalan trees?

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