Question

Recognizing a rational function on the naturals using Maple

score 45 · Answer 1 · 2026-05-05 12:15:05

45

Views

Recognizing a rational function on the naturals using Maple

Published on 05 May 2026 - 12:15

score 185 · Answer 2 · 2026-05-04 06:28:16

185

Views

Generating function by Partial fraction expansion

Published on 04 May 2026 - 6:28

score 877 · Answer 3 · 2026-05-10 12:29:21

877

Views

How to expand this generating function

Published on 10 May 2026 - 12:29

score 199 · Answer 4 · 2026-05-04 06:26:51

199

Views

Infinitely divisible probability generating function

Published on 04 May 2026 - 6:26

score 139 · Answer 5 · 2026-05-04 06:28:17

139

Views

Solve this nonlinear second order ODE: $yy'+xyy''+1=0$

Published on 04 May 2026 - 6:28

score 83 · Answer 6 · 2026-05-05 12:41:28

83

Views

Extension of a number-theoretic polynomial to the reals [Berkeley Math Tournament]

Published on 05 May 2026 - 12:41

score 166 · Answer 7 · 2026-04-23 09:15:42

166

Views

Complicated recursion formula, seems similar to Bell numbers?

Published on 23 Apr 2026 - 9:15

score 907 · Answer 8 · 2026-05-06 10:37:26

907

Views

Use a generating function to find the number of ways to distribute $r$ jelly beans among $8$ children if each child gets at least one jelly bean.

Published on 06 May 2026 - 10:37

score 1k · Answer 9 · 2026-04-17 01:32:31

1k

Views

Find the coefficient of $x^{18}$ in $(x + x^2 + x^3 + x^4 + x^5)(x^2 + x^3 + x^4 +\cdots)^5 $

Published on 17 Apr 2026 - 1:32

score 130 · Answer 10 · 2026-05-04 06:28:17

130

Views

Determining Sequence From Generating Functions

Published on 04 May 2026 - 6:28

score 76 · Answer 11 · 2026-05-04 06:26:51

76

Views

Determining the form of generating functions based on recursive formula

Published on 04 May 2026 - 6:26

score 2.6k · Answer 12 · 2026-05-04 06:29:53

2.6k

Views

How many ways are there to get a sum of $25$ when $10$ distinct dice are rolled?

Published on 04 May 2026 - 6:29

score 312 · Answer 13 · 2026-05-04 06:29:51

312

Views

Constrained combinatorial question using generating functions

Published on 04 May 2026 - 6:29

score 60 · Answer 14 · 2026-05-04 06:28:18

60

Views

Generating function of $(2n+1)2^{n-2}$, $n\leq2$?

Published on 04 May 2026 - 6:28

score 110 · Answer 15 · 2026-05-03 06:27:03

110

Views

first derivative of exponential generating function of harmonic numbers

Published on 03 May 2026 - 6:27

List Question

Recognizing a rational function on the naturals using Maple

Generating function by Partial fraction expansion

How to expand this generating function

Infinitely divisible probability generating function

Solve this nonlinear second order ODE: $yy'+xyy''+1=0$

Extension of a number-theoretic polynomial to the reals [Berkeley Math Tournament]

Complicated recursion formula, seems similar to Bell numbers?

Use a generating function to find the number of ways to distribute $r$ jelly beans among $8$ children if each child gets at least one jelly bean.

Find the coefficient of $x^{18}$ in $(x + x^2 + x^3 + x^4 + x^5)(x^2 + x^3 + x^4 +\cdots)^5 $

Determining Sequence From Generating Functions

Determining the form of generating functions based on recursive formula

How many ways are there to get a sum of $25$ when $10$ distinct dice are rolled?

Constrained combinatorial question using generating functions

Generating function of $(2n+1)2^{n-2}$, $n\leq2$?

first derivative of exponential generating function of harmonic numbers

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