List questions from generating-functions

80

Views

How to use recurrence to define generating function? How to write generating function as power series?

Published on 03 Apr 2026 - 17:51

426

Views

Number of Dyck paths with maximal odd sequence of $(1,-1)$ ending on the $x$-axis

Published on 28 Mar 2026 - 23:59

85

Views

Diagonalizing some very well behaved non-symmetric matrices

Published on 09 Dec 2015 - 12:34

306

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Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ (Negative Binomial Theorem)

Published on 24 Feb 2026 - 0:10

119

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Generating function of the sequence: $a_n = \frac{(6^n+1)^2}{2^n}.$

Published on 10 Dec 2015 - 16:25

498

Views

Sequence corresponding to the generating function

Published on 10 Dec 2015 - 17:40

833

Views

Generating functions $a_{n} =n^{2}$

Published on 11 Dec 2015 - 1:49

136

Views

Generating function, finding coefficient (decomposing)

Published on 12 Dec 2015 - 16:00

255

Views

Formation of generating function with negative integer conditions

Published on 14 Dec 2015 - 6:26

146

Views

Count the number of 10 digit numbers with given condition

Published on 14 Dec 2015 - 10:06

528

Views

Use geometric progression formula to expand generating function into a power series?

Published on 26 Mar 2026 - 17:33

100

Views

Generating Functions To Deal With

Published on 17 Dec 2015 - 2:57

379

Views

Is each edge interpreted like a $2$-cycle?

Published on 26 Mar 2026 - 21:07

295

Views

Extracting the coefficient

Published on 17 Dec 2015 - 23:16

102

Views

Counting Polar Bears

Published on 05 Apr 2026 - 12:43

List Question

How to use recurrence to define generating function? How to write generating function as power series?

Number of Dyck paths with maximal odd sequence of $(1,-1)$ ending on the $x$-axis

Diagonalizing some very well behaved non-symmetric matrices

Closed form for $\sum_{n=0}^{\infty} \binom{n+k}{k} x^n$ (Negative Binomial Theorem)

Generating function of the sequence: $a_n = \frac{(6^n+1)^2}{2^n}.$

Sequence corresponding to the generating function

Generating functions $a_{n} =n^{2}$

Generating function, finding coefficient (decomposing)

Formation of generating function with negative integer conditions

Count the number of 10 digit numbers with given condition

Use geometric progression formula to expand generating function into a power series?

Generating Functions To Deal With

Is each edge interpreted like a $2$-cycle?

Extracting the coefficient

Counting Polar Bears

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