List questions from generating-functions

Published on 21 Aug 2014 - 12:17

129

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How can I distribute 15 pennies (1 cent) and 17 nickels (5 cents)?

Published on 22 Aug 2014 - 2:19

834

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Make $n$ cents with $1$-cent, $2$-cent, and $3$-cent coins

Published on 22 Aug 2014 - 20:42

107

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Generating series - Finite groups of order $n$

Published on 31 Aug 2014 - 10:31

1.3k

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Generating Functions and Linear Diophantine Inequalities

Published on 25 Mar 2026 - 2:59

4.7k

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Probability generating function of the sum of two random variables

Published on 01 Sep 2014 - 21:34

378

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Evaluate the sum $ \sum_{i=0}^{n} (-1)^{n-i} \binom{n}{i} f(i)$

Published on 03 Sep 2014 - 0:19

48

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Why is this function generate $a_n = 2^n(n+1)$?

Published on 03 Sep 2014 - 16:22

127

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How many numbers are less than million such that their digits sum is $\le 19$?

Published on 03 Sep 2014 - 17:02

1.2k

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Generating functions to solve number of integer solution problem

Published on 04 Sep 2014 - 8:26

289

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Number of integral soultions to linear equations without unit coefficients

Published on 05 Sep 2014 - 15:10

280

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Partitions of 200 into at most 6 parts.

Published on 06 Sep 2014 - 2:48

376

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Stirling numbers and Power Group Enumeration

Published on 26 Mar 2026 - 19:16

32

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Generating function question, seemingly lacking information

Published on 07 Sep 2014 - 4:22

295

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Learning about generating functions and sequences.

Published on 07 Sep 2014 - 4:47

List Question

How to obtain probability distribution from the generating function $G(s) = e^{a(s-1)^2}$?

How can I distribute 15 pennies (1 cent) and 17 nickels (5 cents)?

Make $n$ cents with $1$-cent, $2$-cent, and $3$-cent coins

Generating series - Finite groups of order $n$

Generating Functions and Linear Diophantine Inequalities

Probability generating function of the sum of two random variables

Evaluate the sum $ \sum_{i=0}^{n} (-1)^{n-i} \binom{n}{i} f(i)$

Why is this function generate $a_n = 2^n(n+1)$?

How many numbers are less than million such that their digits sum is $\le 19$?

Generating functions to solve number of integer solution problem

Number of integral soultions to linear equations without unit coefficients

Partitions of 200 into at most 6 parts.

Stirling numbers and Power Group Enumeration

Generating function question, seemingly lacking information

Learning about generating functions and sequences.

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