User Johann Cigler

5 votes

2 answers

635 views

Some curious Hankel determinants

asked Jun 15, 2017 at 15:34

5 votes

1 answer

496 views

An identity related to Hankel determinants of $\sum_{k=1}^n \frac{2^k}{k}$

asked Feb 17, 2017 at 15:34

5 votes

1 answer

200 views

$p$-adic valuation of $P_n(p)$ if $P_n$ is the $n$th Legendre polynomial

asked May 7, 2017 at 14:22

5 votes

1 answer

213 views

Matrix-valued periodic Fibonacci polynomials

asked Mar 8, 2020 at 17:42

5 votes

1 answer

408 views

An interesting Hankel determinant

asked Aug 22, 2021 at 9:38

5 votes

1 answer

251 views

Hankel determinants for q-Catalan numbers where q is a root of unity?

asked Jan 6, 2022 at 10:07

5 votes

1 answer

148 views

Identities for the generating functions of a sort of convolution powers of the Narayana numbers

asked Mar 7 at 14:12

5 votes

1 answer

502 views

A polynomial identity related to Catalan numbers

asked Dec 30, 2022 at 15:42

4 votes

1 answer

168 views

Discriminants of some $q$-analogs of $(1+x)^n$

asked Jul 8, 2021 at 14:14

4 votes

2 answers

263 views

A special class of weighted Motzkin paths

asked Oct 19, 2021 at 8:28

4 votes

1 answer

423 views

Generating functions for Hankel determinants of Catalan numbers

asked Aug 29, 2021 at 12:32

4 votes

0 answers

113 views

Positivity of q-analogs of central binomial coefficients?

asked Apr 14, 2019 at 8:52

4 votes

1 answer

672 views

Are the following q-Genocchi numbers known?

asked Jul 14, 2012 at 14:33

4 votes

1 answer

288 views

Reference request for an identity for tangent numbers

asked Jul 24, 2012 at 13:40

4 votes

0 answers

126 views

A $q-$binomial identity related to $q-$Narayana polynomials of type B

asked Nov 21, 2016 at 9:37

3 votes

3 answers

472 views

Usefulness of symbolic devices

asked Sep 13, 2011 at 12:37

3 votes

0 answers

173 views

A recursion for the total number of 1's in binary expansions of the first natural numbers?

asked Feb 25, 2018 at 18:07

3 votes

1 answer

187 views

The Golay-Rudin-Shapiro sequence as “Hankel transform”

asked Mar 5, 2018 at 14:24

3 votes

1 answer

235 views

Reference request for some determinants of binomial coefficients

asked Oct 1, 2018 at 16:07

3 votes

1 answer

149 views

Reference for Frobenius’s proof of Schur’s finite version of the Rogers - Ramanujan identities

asked Apr 16, 2014 at 14:18

3 votes

0 answers

229 views

Combinatorial interpretation of a determinant

asked Nov 15, 2021 at 16:14

3 votes

2 answers

370 views

Number of bounded Dyck paths with negative length as Hankel determinants

asked Sep 28, 2020 at 16:07

2 votes

1 answer

305 views

Some determinants which are closely related to recurrences

asked Jan 6, 2021 at 15:03

2 votes

0 answers

239 views

Characteristic polynomials of some special matrices

asked Mar 16, 2020 at 8:19

2 votes

2 answers

485 views

Some nice polynomials related to Hankel determinants

asked Apr 8, 2021 at 14:50

2 votes

0 answers

111 views

Terminology: Central binomial coefficients?

asked Aug 27, 2021 at 8:10

2 votes

0 answers

241 views

Determinants of band matrices which are related to Hankel matrices of Catalan numbers

asked Apr 28, 2023 at 14:26

2 votes

1 answer

192 views

Simplification of a sum with roots of unity

asked Sep 7, 2017 at 13:45

2 votes

0 answers

163 views

Reference request for a binomial identity

asked Nov 21, 2017 at 9:02

2 votes

1 answer

215 views

Number of odd elements in a vanishing sum of binomial coefficients

asked Feb 8, 2019 at 11:59

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68 Questions

Some curious Hankel determinants

An identity related to Hankel determinants of $\sum_{k=1}^n \frac{2^k}{k}$

$p$-adic valuation of $P_n(p)$ if $P_n$ is the $n$th Legendre polynomial

Matrix-valued periodic Fibonacci polynomials

An interesting Hankel determinant

Hankel determinants for q-Catalan numbers where q is a root of unity?

Identities for the generating functions of a sort of convolution powers of the Narayana numbers

A polynomial identity related to Catalan numbers

Discriminants of some $q$-analogs of $(1+x)^n$

A special class of weighted Motzkin paths

Generating functions for Hankel determinants of Catalan numbers

Positivity of q-analogs of central binomial coefficients?

Are the following q-Genocchi numbers known?

Reference request for an identity for tangent numbers

A $q-$binomial identity related to $q-$Narayana polynomials of type B

Usefulness of symbolic devices

A recursion for the total number of 1's in binary expansions of the first natural numbers?

The Golay-Rudin-Shapiro sequence as “Hankel transform”

Reference request for some determinants of binomial coefficients

Reference for Frobenius’s proof of Schur’s finite version of the Rogers - Ramanujan identities

Combinatorial interpretation of a determinant

Number of bounded Dyck paths with negative length as Hankel determinants

Some determinants which are closely related to recurrences

Characteristic polynomials of some special matrices

Some nice polynomials related to Hankel determinants

Terminology: Central binomial coefficients?

Determinants of band matrices which are related to Hankel matrices of Catalan numbers

Simplification of a sum with roots of unity

Reference request for a binomial identity

Number of odd elements in a vanishing sum of binomial coefficients