List questions from generating-functions

Published on 30 Mar 2026 - 10:56

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Can you find the coefficient of x^r in a generating function if r is a negative number?

Published on 07 Nov 2015 - 20:43

1.9k

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Generating Functions of Binary Strings

Published on 08 Nov 2015 - 3:06

365

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Evaluate sum using generating function

Published on 02 Apr 2026 - 20:10

207

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Question about: How many partitions of $12$ have parts of size at most $5$?

Published on 10 Nov 2015 - 5:32

136

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Expand generating function $\frac{\exp{\frac{z}{1-z}}}{1-z}$

Published on 10 Nov 2015 - 19:54

184

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Find generating function of a sequence: $(1,1,2,2,2^2,2^2,2^3,2^3,...)$

Published on 12 Nov 2015 - 9:45

1.3k

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System of recurrence relations with Taylor series expansion

Published on 12 Nov 2015 - 17:10

283

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Solution to a recurrence relation

Published on 14 Nov 2015 - 18:58

55

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Number of ways to compute a product

Published on 15 Nov 2015 - 3:08

93

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Generating function for the set of $w$-free words.

Published on 27 Mar 2026 - 2:42

452

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How to prove the equality $ B_n(sx) =s^{n - 1}\sum_{j = 0}^{s - 1} B_n (x + \frac{j}{s}) $

Published on 15 Nov 2015 - 23:28

433

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Recurrence relation about square of Fibonacci number

Published on 16 Nov 2015 - 20:24

337

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Solving the recurrence $a_{n+2} = 3a_{n+1} - 2a_n, a_0 = 1, a_1 = 3$ using generating functions

Published on 16 Nov 2015 - 20:35

299

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What's the relation between Stirling numbers and the generating functions?

Published on 28 Mar 2026 - 10:33

List Question

Derivative of cumulative generating function at zero equals expectation value

Can you find the coefficient of x^r in a generating function if r is a negative number?

Generating Functions of Binary Strings

Evaluate sum using generating function

Question about: How many partitions of $12$ have parts of size at most $5$?

Expand generating function $\frac{\exp{\frac{z}{1-z}}}{1-z}$

Find generating function of a sequence: $(1,1,2,2,2^2,2^2,2^3,2^3,...)$

System of recurrence relations with Taylor series expansion

Solution to a recurrence relation

Number of ways to compute a product

Generating function for the set of $w$-free words.

How to prove the equality $ B_n(sx) =s^{n - 1}\sum_{j = 0}^{s - 1} B_n (x + \frac{j}{s}) $

Recurrence relation about square of Fibonacci number

Solving the recurrence $a_{n+2} = 3a_{n+1} - 2a_n, a_0 = 1, a_1 = 3$ using generating functions

What's the relation between Stirling numbers and the generating functions?

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