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Richard Stanley's user avatar
Richard Stanley's user avatar
Richard Stanley's user avatar
Richard Stanley
  • Member for 15 years
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461 Answers

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12 votes
Accepted

A sum involving irreducible characters of the symmetric group

12 votes

A random walk with uniformly distributed steps

12 votes
Accepted

Combinatorial Morse functions and random permutations

12 votes
Accepted

The property of Kendall-Mann numbers

12 votes
Accepted

Integrating the multinomial over a hypercube

12 votes

For any $n$, does there exist a number field with at least $n$ solutions to the unit equation

12 votes
Accepted

The number of pairings between multisets

12 votes

When did you "meet Polya"?

12 votes

Residue for the generating function of the Euler totient function

12 votes

Catalan numbers as sums of squares of numbers in the rows of the Catalan triangle - is there a combinatorial explanation?

12 votes
Accepted

Polynomial recurrence relation covering the integers (and then Gaussian integers)

12 votes
Accepted

A sum over characters of the symmetric group

12 votes
Accepted

Number of nonzero terms in polynomial expansion (lower bounds)

12 votes
Accepted

Curious Catalan convolutions

12 votes

Explicit formula for elementary symmetric sum

12 votes
Accepted

Resultant of $f(x)$ and $f(-x)$

12 votes
Accepted

What is the motivation behind symplectic/orthogonal content?

12 votes
Accepted

A combinatorial identity involving increasing functions from $\{1, \dots, n\}$ to itself

11 votes
Accepted

Hilbert polynomials of graded algebras evaluated at negative numbers

11 votes
Accepted

Series solution for general trinomial

11 votes

Are there "natural" sequences with "exotic" growth rates? What metatheorems are there guaranteeing "elementary" growth rates?

11 votes

Commuting hermitian matrices

11 votes

A special type of generating function for Fibonacci

11 votes
Accepted

Using irreducible characters of the orthogonal group as basis for homogeneous symmetric polynomials

11 votes
Accepted

Volume of polyhedron

11 votes

Partitioning ${\cal P}([[1,n]])$

11 votes
Accepted

Combinatorial interpretation for coefficients of reciprocal of power series

11 votes
Accepted

Puiseux decomposition over a field with positive characteristic

11 votes
Accepted

Pairs of roots of unity whose real part satisfies a polynomial identity

11 votes
Accepted

Factorization in the group algebra of symmetric groups

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