Question

Find the formula for the convolution of the sequences (generating functions)

score 603 · Answer 1 · 2026-03-27 16:27:01

603

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Find the formula for the convolution of the sequences (generating functions)

Published on 27 Mar 2026 - 16:27

score 339 · Answer 2 · 2019-08-26 21:22:40

339

Views

How do I find the exponential generating function of $a_n = (-1)^n \sum_{k=0}^{n}k \binom{n}{k}$?

Published on 26 Aug 2019 - 21:22

score 348 · Answer 3 · 2019-08-27 04:46:39

348

Views

60 balls to be distributed among 3 people such that C gets more balls than B and B than A

Published on 27 Aug 2019 - 4:46

score 102 · Answer 4 · 2019-08-27 09:03:04

102

Views

Coefficients of generating function are positive

Published on 27 Aug 2019 - 9:03

score 474 · Answer 5 · 2026-03-29 14:25:24

474

Views

Derive the EGF of Stirling number of the second kind with the OGF-EGF conversion formula

Published on 29 Mar 2026 - 14:25

score 161 · Answer 6 · 2019-08-28 13:16:42

161

Views

Understand step in a combinatorial problem using exponential generating functions

Published on 28 Aug 2019 - 13:16

score 174 · Answer 7 · 2019-08-29 03:23:49

174

Views

Solve recurrence using generating functions if possible.

Published on 29 Aug 2019 - 3:23

score 21 · Answer 8 · 2019-08-29 16:56:48

21

Views

Extracting restricted sums of the coefficients of generating polynomials

Published on 29 Aug 2019 - 16:56

score 37 · Answer 9 · 2019-08-31 11:21:32

37

Views

Generating function of 'monotonic' partitions

Published on 31 Aug 2019 - 11:21

score 411 · Answer 10 · 2026-03-28 09:32:57

411

Views

Variance of a random sum of random variables using generating functions.

Published on 28 Mar 2026 - 9:32

score 133 · Answer 11 · 2019-09-02 01:43:43

133

Views

Finding generating series from equation

Published on 02 Sep 2019 - 1:43

score 2.3k · Answer 12 · 2026-03-28 02:48:41

2.3k

Views

Deriving the moment generating function of the negative binomial distribution?

Published on 28 Mar 2026 - 2:48

score 342 · Answer 13 · 2019-09-03 22:07:03

342

Views

Reference request - Theory of rational multivariate generating functions (extracting coefficients of their taylor expansion)

Published on 03 Sep 2019 - 22:07

score 100 · Answer 14 · 2019-09-04 11:25:37

100

Views

Counting with generating functions

Published on 04 Sep 2019 - 11:25

score 268 · Answer 15 · 2026-03-26 06:21:11

268

Views

Generating function of series $\sum\limits_{n=1}^\infty H_n^{(m)}\binom{2n}{n}x^n$?

Published on 26 Mar 2026 - 6:21

List Question

Find the formula for the convolution of the sequences (generating functions)

How do I find the exponential generating function of $a_n = (-1)^n \sum_{k=0}^{n}k \binom{n}{k}$?

60 balls to be distributed among 3 people such that C gets more balls than B and B than A

Coefficients of generating function are positive

Derive the EGF of Stirling number of the second kind with the OGF-EGF conversion formula

Understand step in a combinatorial problem using exponential generating functions

Solve recurrence using generating functions if possible.

Extracting restricted sums of the coefficients of generating polynomials

Generating function of 'monotonic' partitions

Variance of a random sum of random variables using generating functions.

Finding generating series from equation

Deriving the moment generating function of the negative binomial distribution?

Reference request - Theory of rational multivariate generating functions (extracting coefficients of their taylor expansion)

Counting with generating functions

Generating function of series $\sum\limits_{n=1}^\infty H_n^{(m)}\binom{2n}{n}x^n$?

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