Question

The ordinary generating function for words whose longest run has length $\le k$

score 150 · Answer 1 · 2026-04-10 17:14:45

150

Views

The ordinary generating function for words whose longest run has length $\le k$

Published on 10 Apr 2026 - 17:14

score 118 · Answer 2 · 2026-04-15 13:49:10

118

Views

Combinatorial Families

Published on 15 Apr 2026 - 13:49

score 126 · Answer 3 · 2026-04-13 19:15:49

126

Views

Using generating functions to solve binomial identities

Published on 13 Apr 2026 - 19:15

score 105 · Answer 4 · 2026-04-14 08:46:17

105

Views

If $g(x) = \sum_{k=0}^{\infty} a_k \cdot \frac{x^k}{k!}$ is 0 at integer values, does it mean that all $a_k = 0$?

Published on 14 Apr 2026 - 8:46

score 65 · Answer 5 · 2026-04-11 00:15:17

65

Views

Question about coefficients of generating functions

Published on 11 Apr 2026 - 0:15

score 122 · Answer 6 · 2026-04-12 17:53:42

122

Views

Finding the Closed Form of a Multivariable Exponential Summation

Published on 12 Apr 2026 - 17:53

score 101 · Answer 7 · 2026-04-16 05:17:01

101

Views

Origin of Term in Proof of Gauss's Digamma Theorem Cast as the $p/q$th Harmonic Number?

Published on 16 Apr 2026 - 5:17

score 59 · Answer 8 · 2026-04-12 18:31:23

59

Views

How to interpret this q-binomial limit

Published on 12 Apr 2026 - 18:31

score 151 · Answer 9 · 2026-04-17 14:20:03

151

Views

Let $f(n)=\sum_{k=0}^{\left\lfloor n/2\right\rfloor} {2k \choose k}{n \choose 2k}$ . Show that $\sum_{n\geq 0}^{} f(n)x^n=\frac{1}{\sqrt{1-2x-3x^2}}$

Published on 17 Apr 2026 - 14:20

score 49 · Answer 10 · 2026-04-11 07:03:46

49

Views

What is the generator of normal law $N(0,1)$ using below inequality?

Published on 11 Apr 2026 - 7:03

score 139 · Answer 11 · 2026-04-12 12:17:16

139

Views

PGF of negative multinomial expansion

Published on 12 Apr 2026 - 12:17

score 1.1k · Answer 12 · 2026-04-15 03:52:56

1.1k

Views

Why are Stirling numbers of the first kind related to the number of permutations with $k$ cycles?

Published on 15 Apr 2026 - 3:52

score 52 · Answer 13 · 2026-04-17 07:00:54

52

Views

2 dimensional non-linear recurrence $f(n,k) = \frac{f(n-1,k) + f(n-1,k-1)}{2} - \frac{\left(f(n-1,k) - f(n-1,k-1)\right)^2}{320}$

Published on 17 Apr 2026 - 7:00

score 86 · Answer 14 · 2026-04-09 19:22:00

86

Views

Generating function for reverse plane partitions

Published on 09 Apr 2026 - 19:22

score 89 · Answer 15 · 2026-04-11 22:14:35

89

Views

2 questions related to generating function of partition function in number theory

Published on 11 Apr 2026 - 22:14

List Question

The ordinary generating function for words whose longest run has length $\le k$

Combinatorial Families

Using generating functions to solve binomial identities

If $g(x) = \sum_{k=0}^{\infty} a_k \cdot \frac{x^k}{k!}$ is 0 at integer values, does it mean that all $a_k = 0$?

Question about coefficients of generating functions

Finding the Closed Form of a Multivariable Exponential Summation

Origin of Term in Proof of Gauss's Digamma Theorem Cast as the $p/q$th Harmonic Number?

How to interpret this q-binomial limit

Let $f(n)=\sum_{k=0}^{\left\lfloor n/2\right\rfloor} {2k \choose k}{n \choose 2k}$ . Show that $\sum_{n\geq 0}^{} f(n)x^n=\frac{1}{\sqrt{1-2x-3x^2}}$

What is the generator of normal law $N(0,1)$ using below inequality?

PGF of negative multinomial expansion

Why are Stirling numbers of the first kind related to the number of permutations with $k$ cycles?

2 dimensional non-linear recurrence $f(n,k) = \frac{f(n-1,k) + f(n-1,k-1)}{2} - \frac{\left(f(n-1,k) - f(n-1,k-1)\right)^2}{320}$

Generating function for reverse plane partitions

2 questions related to generating function of partition function in number theory

Trending Questions

Popular # Hahtags

Popular Questions