Question

Computing the exponential generating function of the Bell numbers.

score 1.2k · Answer 1 · 2019-12-24 10:24:41

1.2k

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Computing the exponential generating function of the Bell numbers.

Published on 24 Dec 2019 - 10:24

score 104 · Answer 2 · 2019-12-25 13:01:06

104

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How many integer solutions there are for this equation $\sum_{k=1}^r |x_k| =n$?

Published on 25 Dec 2019 - 13:01

score 573 · Answer 3 · 2019-12-26 18:07:09

573

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Towards a Little proof of Fermat's last theorem

Published on 26 Dec 2019 - 18:07

score 553 · Answer 4 · 2019-12-28 18:25:19

553

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Why do probability generating functions have different radius of convergence?

Published on 28 Dec 2019 - 18:25

score 79 · Answer 5 · 2019-12-30 20:50:04

79

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How many good integers less than $10^n$ are there?

Published on 30 Dec 2019 - 20:50

score 353 · Answer 6 · 2020-01-01 11:28:50

353

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Given a natural number $n$ and define $B_n$ as the set of all sequence $b_1, b_2, \dots, b_n$ of length $n$...

Published on 01 Jan 2020 - 11:28

score 1.2k · Answer 7 · 2020-01-01 17:35:57

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Proof Vandermonde's identity using generating function

Published on 01 Jan 2020 - 17:35

score 136 · Answer 8 · 2020-01-02 15:24:44

136

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Discrete Mathematics: Generating function

Published on 02 Jan 2020 - 15:24

score 47 · Answer 9 · 2026-03-31 00:27:06

47

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multiple sums when lower bound depends on previous index

Published on 31 Mar 2026 - 0:27

score 259 · Answer 10 · 2026-03-26 20:41:53

259

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Prove that $\sum_{k=0}^{\lfloor (n-1)/2 \rfloor} (-1)^k {n+1 \choose k} {2n-2k-1 \choose n} =\frac{ n(n+1)}2 $

Published on 26 Mar 2026 - 20:41

score 1.9k · Answer 11 · 2020-01-06 21:57:08

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Exponential Generating function for 1 0 0 1 0 0 1 0 0...

Published on 06 Jan 2020 - 21:57

score 1.9k · Answer 12 · 2020-01-06 22:10:33

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find the generating function for $a_n = n^3$

Published on 06 Jan 2020 - 22:10

score 90 · Answer 13 · 2026-03-25 01:22:45

90

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Permutation with constraints generating functions

Published on 25 Mar 2026 - 1:22

score 127 · Answer 14 · 2020-01-07 00:33:16

127

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Using symbolic method to calculate number of particular plane trees

Published on 07 Jan 2020 - 0:33

score 179 · Answer 15 · 2020-01-07 20:36:58

179

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Finding the particular solution of a non-homogeneous first-order linear recurrence

Published on 07 Jan 2020 - 20:36

List Question

Computing the exponential generating function of the Bell numbers.

How many integer solutions there are for this equation $\sum_{k=1}^r |x_k| =n$?

Towards a Little proof of Fermat's last theorem

Why do probability generating functions have different radius of convergence?

How many good integers less than $10^n$ are there?

Given a natural number $n$ and define $B_n$ as the set of all sequence $b_1, b_2, \dots, b_n$ of length $n$...

Proof Vandermonde's identity using generating function

Discrete Mathematics: Generating function

multiple sums when lower bound depends on previous index

Prove that $\sum_{k=0}^{\lfloor (n-1)/2 \rfloor} (-1)^k {n+1 \choose k} {2n-2k-1 \choose n} =\frac{ n(n+1)}2 $

Exponential Generating function for 1 0 0 1 0 0 1 0 0...

find the generating function for $a_n = n^3$

Permutation with constraints generating functions

Using symbolic method to calculate number of particular plane trees

Finding the particular solution of a non-homogeneous first-order linear recurrence

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