Question

General Formula for solutions of the restriction system $x_1+x_2+\cdots+x_k=n$

score 51 · Answer 1 · 2026-03-27 18:09:17

51

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General Formula for solutions of the restriction system $x_1+x_2+\cdots+x_k=n$

Published on 27 Mar 2026 - 18:09

score 42 · Answer 2 · 2020-04-15 22:31:35

42

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How to finish solving the recurrence relation from fraction $\phi = (24t^2-54t)/(-20t^3+24t^2-9t)$ obtained by generating function method.

Published on 15 Apr 2020 - 22:31

score 192 · Answer 3 · 2020-04-16 20:20:22

192

Views

Generating Function of a series expressed as a product and proving the function.

Published on 16 Apr 2020 - 20:20

score 128 · Answer 4 · 2020-04-18 19:30:00

128

Views

Doubly exponential generating function

Published on 18 Apr 2020 - 19:30

score 52 · Answer 5 · 2026-03-26 08:23:13

52

Views

Show there exists a unique formal power series $g$ such that $g^d=f$

Published on 26 Mar 2026 - 8:23

score 224 · Answer 6 · 2026-02-23 03:58:09

224

Views

Product of two generating functions in terms of the ordinary generating function? (recurrence relation solving)

Published on 23 Feb 2026 - 3:58

score 53 · Answer 7 · 2020-04-19 23:13:46

53

Views

Generating function problem for two tasks

Published on 19 Apr 2020 - 23:13

score 34 · Answer 8 · 2020-04-20 17:31:46

34

Views

Composition of generating functions [beginner question]

Published on 20 Apr 2020 - 17:31

score 33 · Answer 9 · 2020-04-20 23:17:15

33

Views

Solve a recurrence relation with only one case specified?

Published on 20 Apr 2020 - 23:17

score 85 · Answer 10 · 2020-04-21 00:05:13

85

Views

Proof a binomial identity for Newton's binomial coefficients

Published on 21 Apr 2020 - 0:05

score 161 · Answer 11 · 2020-04-21 19:36:01

161

Views

Is $\lim_{n\to\infty} \frac{4n}{a^2_n}=\pi e$ for $a_{n+2}=a_{n+1}+\frac{a_n}{2n}$, $a_1=0,a_2=1$?

Published on 21 Apr 2020 - 19:36

score 110 · Answer 12 · 2026-03-27 14:58:28

110

Views

Continuous Analogues of Generating functions

Published on 27 Mar 2026 - 14:58

score 96 · Answer 13 · 2026-03-28 11:06:46

96

Views

What is this mystery function that wolfram alpha says my exponential generating function is equal too?

Published on 28 Mar 2026 - 11:06

score 159 · Answer 14 · 2020-04-25 21:00:01

159

Views

Generating function of $(2,2,2,4,4,4,8,8,8,\ldots)$

Published on 25 Apr 2020 - 21:00

score 656 · Answer 15 · 2026-03-27 03:44:32

656

Views

Use generating functions to prove that the number of partitions of a positive integer n into parts, each part at most 2, is [n/2] + 1

Published on 27 Mar 2026 - 3:44

List Question

General Formula for solutions of the restriction system $x_1+x_2+\cdots+x_k=n$

How to finish solving the recurrence relation from fraction $\phi = (24t^2-54t)/(-20t^3+24t^2-9t)$ obtained by generating function method.

Generating Function of a series expressed as a product and proving the function.

Doubly exponential generating function

Show there exists a unique formal power series $g$ such that $g^d=f$

Product of two generating functions in terms of the ordinary generating function? (recurrence relation solving)

Generating function problem for two tasks

Composition of generating functions [beginner question]

Solve a recurrence relation with only one case specified?

Proof a binomial identity for Newton's binomial coefficients

Is $\lim_{n\to\infty} \frac{4n}{a^2_n}=\pi e$ for $a_{n+2}=a_{n+1}+\frac{a_n}{2n}$, $a_1=0,a_2=1$?

Continuous Analogues of Generating functions

What is this mystery function that wolfram alpha says my exponential generating function is equal too?

Generating function of $(2,2,2,4,4,4,8,8,8,\ldots)$

Use generating functions to prove that the number of partitions of a positive integer n into parts, each part at most 2, is [n/2] + 1

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