Question

For each, give the generating function for the number of solutions

score 255 · Answer 1 · 2016-11-29 18:31:24

255

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For each, give the generating function for the number of solutions

Published on 29 Nov 2016 - 18:31

score 49 · Answer 2 · 2016-11-30 00:46:43

49

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Suppose that $a_n = a_0r^n$. This is a geometric sequence, since $a_{n+1}/a_n = r$ is independent of n.

Published on 30 Nov 2016 - 0:46

score 72 · Answer 3 · 2026-03-26 17:30:17

72

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Tiling of different sized chess boards. Combo Problem

Published on 26 Mar 2026 - 17:30

score 77 · Answer 4 · 2016-12-03 10:13:55

77

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Number of solutions to $n=\sum_{i=1}^{r} x_i ;\forall i, 1\le x_i\le k; \exists i ,x_i\ge d$ for $r\in \mathbb N$

Published on 03 Dec 2016 - 10:13

score 2.5k · Answer 5 · 2016-12-04 04:04:34

2.5k

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Use generating functions to solve nonhomogeneous recurrence relation

Published on 04 Dec 2016 - 4:04

score 638 · Answer 6 · 2016-12-05 00:38:31

638

Views

How to find number of solutions using generating functions

Published on 05 Dec 2016 - 0:38

score 64 · Answer 7 · 2026-02-23 05:45:40

64

Views

Estimating cauchy products of divergent series

Published on 23 Feb 2026 - 5:45

score 99 · Answer 8 · 2016-12-06 10:30:48

99

Views

Solving linear recurrence with binomials

Published on 06 Dec 2016 - 10:30

score 191 · Answer 9 · 2026-03-26 08:15:11

191

Views

formal power series derivative multiplicative inverse

Published on 26 Mar 2026 - 8:15

score 98 · Answer 10 · 2016-12-07 15:31:15

98

Views

Write expression B(x), the generating function of the number of ways to choose a bouquet of flowers n

Published on 07 Dec 2016 - 15:31

score 377 · Answer 11 · 2016-12-07 16:26:53

377

Views

Well-defined generating function for the Legendre polynomials

Published on 07 Dec 2016 - 16:26

score 122 · Answer 12 · 2026-03-28 14:54:17

122

Views

Sum of Harmonic Number error over all $n$

Published on 28 Mar 2026 - 14:54

score 1k · Answer 13 · 2026-03-25 14:36:44

1k

Views

Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

Published on 25 Mar 2026 - 14:36

score 263 · Answer 14 · 2016-12-12 04:26:44

263

Views

How to expand $(1 - x)^{-5}$?

Published on 12 Dec 2016 - 4:26

score 70 · Answer 15 · 2016-12-12 19:23:50

70

Views

Find generating function of a sequence if A(x) is generating function of sequence $a_n$.

Published on 12 Dec 2016 - 19:23

List Question

For each, give the generating function for the number of solutions

Suppose that $a_n = a_0r^n$. This is a geometric sequence, since $a_{n+1}/a_n = r$ is independent of n.

Tiling of different sized chess boards. Combo Problem

Number of solutions to $n=\sum_{i=1}^{r} x_i ;\forall i, 1\le x_i\le k; \exists i ,x_i\ge d$ for $r\in \mathbb N$

Use generating functions to solve nonhomogeneous recurrence relation

How to find number of solutions using generating functions

Estimating cauchy products of divergent series

Solving linear recurrence with binomials

formal power series derivative multiplicative inverse

Write expression B(x), the generating function of the number of ways to choose a bouquet of flowers n

Well-defined generating function for the Legendre polynomials

Sum of Harmonic Number error over all $n$

Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?

How to expand $(1 - x)^{-5}$?

Find generating function of a sequence if A(x) is generating function of sequence $a_n$.

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