Question

Applications of generating functions to number theory

score 1.1k · Answer 1 · 2014-04-18 00:52:02

1.1k

Views

Applications of generating functions to number theory

Published on 18 Apr 2014 - 0:52

score 809 · Answer 2 · 2014-04-18 09:12:07

809

Views

Kind of basic combinatorical problems and (exponential) generating functions

Published on 18 Apr 2014 - 9:12

score 169 · Answer 3 · 2026-03-25 10:52:12

169

Views

Higher-Order Approximation of Catalan-Numbers

Published on 25 Mar 2026 - 10:52

score 938 · Answer 4 · 2014-04-18 20:28:40

938

Views

number of solutions to $x_1 + x_2 + x_3 + x_4 + x_5 = 31$ via generating function?

Published on 18 Apr 2014 - 20:28

score 46 · Answer 5 · 2014-04-18 21:02:19

46

Views

Genereting function

Published on 18 Apr 2014 - 21:02

score 829 · Answer 6 · 2014-04-19 22:42:50

829

Views

Exponential generating function for number of 10 length sequences built from the alphabet, with some restrictions

Published on 19 Apr 2014 - 22:42

score 364 · Answer 7 · 2014-04-20 06:02:11

364

Views

Recurrence relation with generating function problem

Published on 20 Apr 2014 - 6:02

score 504 · Answer 8 · 2014-04-21 01:35:20

504

Views

Number of integer solutions by generating functions method

Published on 21 Apr 2014 - 1:35

score 3.5k · Answer 9 · 2014-04-21 04:47:42

3.5k

Views

Solving the non-homogeneous recurrence relation: $g_{n} = 12g_{n-2}-16g_{n-3}+6\cdot 2^n+25n$

Published on 21 Apr 2014 - 4:47

score 288 · Answer 10 · 2026-03-26 10:45:06

288

Views

Using a reverse polynomial for a partial fraction decomposition in a recurrence relation problem

Published on 26 Mar 2026 - 10:45

score 514 · Answer 11 · 2014-04-21 10:38:47

514

Views

how to find f(21) of the following probability generating function

Published on 21 Apr 2014 - 10:38

score 2.2k · Answer 12 · 2026-03-28 00:26:24

2.2k

Views

Closed form for nth term of generating function

Published on 28 Mar 2026 - 0:26

score 107 · Answer 13 · 2026-03-27 03:48:12

107

Views

calculate the proportion of n-node trees whose root has only one or two subtrees.

Published on 27 Mar 2026 - 3:48

score 294 · Answer 14 · 2014-04-23 14:53:30

294

Views

Derive expressions for the formal power series $\cos(kz)$ and $\sin(kz)$, where $k$ is an arbitrary integer

Published on 23 Apr 2014 - 14:53

score 61 · Answer 15 · 2026-03-30 02:06:47

61

Views

How to find a function from an infinite sequence of derivatives at $x=0$

Published on 30 Mar 2026 - 2:06

List Question

Applications of generating functions to number theory

Kind of basic combinatorical problems and (exponential) generating functions

Higher-Order Approximation of Catalan-Numbers

number of solutions to $x_1 + x_2 + x_3 + x_4 + x_5 = 31$ via generating function?

Genereting function

Exponential generating function for number of 10 length sequences built from the alphabet, with some restrictions

Recurrence relation with generating function problem

Number of integer solutions by generating functions method

Solving the non-homogeneous recurrence relation: $g_{n} = 12g_{n-2}-16g_{n-3}+6\cdot 2^n+25n$

Using a reverse polynomial for a partial fraction decomposition in a recurrence relation problem

how to find f(21) of the following probability generating function

Closed form for nth term of generating function

calculate the proportion of n-node trees whose root has only one or two subtrees.

Derive expressions for the formal power series $\cos(kz)$ and $\sin(kz)$, where $k$ is an arbitrary integer

How to find a function from an infinite sequence of derivatives at $x=0$

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