User Ira Gessel

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Lagrange inversion formula in positive characterisic

answered Aug 22, 2021 at 21:45

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What are some bases of the polynomial ring that expand positively in the basis of binomial coefficients?

answered Sep 30, 2021 at 20:37

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What is the generalization of the formula for Chung and Feller's Theorem 2 to odd numbers of steps?

answered Dec 30, 2021 at 20:40

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Is there an interesting species whose generating function gives the zigzag numbers?

answered Mar 26, 2014 at 0:14

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Number of labeled regular graphs on n vertices

answered Jul 1, 2013 at 13:10

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The number of lattice paths below y=n/m x for gcd(m,n) = 1

answered Jun 9, 2013 at 21:09

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Number of Dyck paths with prescribed number of edges

answered Feb 20, 2015 at 17:59

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Is there a formula for the number of labeled forests with $k$ components on $n$ vertices?

answered Oct 7, 2014 at 19:26

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Computer package for representation theory of the symmetric group

answered May 16, 2012 at 22:10

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How does this relationship between the Catalan numbers and SU(2) generalize?

answered Jan 15, 2011 at 1:33

7 votes

Implications of a relation on algebraic numbers

answered Sep 3, 2011 at 23:36

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Sign of coefficients

answered Apr 29, 2013 at 13:52

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A number array related to colored necklaces and the primes

answered Oct 21, 2014 at 18:11

7 votes

Arithmetic product of symmetric functions: why is it integral?

answered Aug 1, 2013 at 4:39

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Counting chains of inclusions

answered May 30, 2014 at 19:25

7 votes

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A problem on counting k-subsets of {-n,-n+1,...,n-1,n} satisfying that sum of elements equal to 0

answered Jan 3, 2014 at 17:09

7 votes

growth of the permanent of some band matrix

answered Mar 29, 2021 at 16:33

7 votes

Seeking a combinatorial proof for a binomial identity

answered Jun 25, 2020 at 1:57

7 votes

Polynomial related to lognormal moments

answered Mar 29, 2017 at 16:20

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Cauchy identity, with sum restricted over partitions with first part $\leq n$

answered May 19, 2017 at 15:39

7 votes

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Identifying a special function from its power series

answered Nov 6, 2013 at 17:48

7 votes

The number of permutations with specified number of cycles and fixed points

answered Sep 7, 2018 at 21:26

7 votes

Fibonacci identity using generating function

answered May 18, 2019 at 14:21

7 votes

Is this a new Fibonacci Identity?

answered Apr 2, 2019 at 1:16

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Chebyshev polynomials and ballot numbers

answered Oct 15, 2021 at 21:42

7 votes

Recreation with Catalan

answered Dec 27, 2023 at 6:00

7 votes

Closed form for binomial coefficient sum

answered Jul 13 at 19:24

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$R$-recursion for the A143017

answered Feb 7 at 19:36

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Closed form for the A110501 (unsigned Genocchi numbers (of first kind) of even index)

answered May 24 at 16:26

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How can I verify this family of values for hypergeometric functions?

answered Sep 12, 2023 at 2:36

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191 Answers

Lagrange inversion formula in positive characterisic

What are some bases of the polynomial ring that expand positively in the basis of binomial coefficients?

What is the generalization of the formula for Chung and Feller's Theorem 2 to odd numbers of steps?

Is there an interesting species whose generating function gives the zigzag numbers?

Number of labeled regular graphs on n vertices

The number of lattice paths below y=n/m x for gcd(m,n) = 1

Number of Dyck paths with prescribed number of edges

Is there a formula for the number of labeled forests with $k$ components on $n$ vertices?

Computer package for representation theory of the symmetric group

How does this relationship between the Catalan numbers and SU(2) generalize?

Implications of a relation on algebraic numbers

Sign of coefficients

A number array related to colored necklaces and the primes

Arithmetic product of symmetric functions: why is it integral?

Counting chains of inclusions

A problem on counting k-subsets of {-n,-n+1,...,n-1,n} satisfying that sum of elements equal to 0

growth of the permanent of some band matrix

Seeking a combinatorial proof for a binomial identity

Polynomial related to lognormal moments

Cauchy identity, with sum restricted over partitions with first part $\leq n$

Identifying a special function from its power series

The number of permutations with specified number of cycles and fixed points

Fibonacci identity using generating function

Is this a new Fibonacci Identity?

Chebyshev polynomials and ballot numbers

Recreation with Catalan

Closed form for binomial coefficient sum

$R$-recursion for the A143017

Closed form for the A110501 (unsigned Genocchi numbers (of first kind) of even index)

How can I verify this family of values for hypergeometric functions?