User Peter Taylor

26 votes

Do combinatory logic bases need a function of 3 variables?

answered Feb 3, 2022 at 21:24

25 votes

Accepted

How can you find an integer coefficient polynomial knowing its values only at a few points (but requiring the coefficients be small)?

answered Sep 25, 2021 at 12:34

20 votes

Accepted

Splitting the integers from $1$ to $2n$ into two sets with products as close as possible

answered Mar 31, 2022 at 13:32

18 votes

Places where one can post open problems

answered Jan 11, 2023 at 9:57

15 votes

Accepted

Multiple roots of polynomials with coefficients $\pm 1$

answered Jun 13, 2022 at 19:19

14 votes

Accepted

Are there exotic polynomial bijections from $\mathbb N^d$ onto $\mathbb N$?

answered Aug 7, 2021 at 11:27

12 votes

Accepted

Egyptian fraction of a number in the interval (0.5,1)

answered Nov 2, 2023 at 9:42

11 votes

Accepted

Do you recognize this sequence of polynomials?

answered Nov 3, 2021 at 22:56

10 votes

Accepted

Radio-playing sequence

answered Aug 19, 2021 at 13:52

10 votes

Accepted

Can all three numbers $\ n\ \ n^2-1\ \ n^2+1\ $ be fine (as opposed to coarse)?

answered Jun 28, 2021 at 7:55

10 votes

Accepted

What is the formula for $\mathcal P_{n}^{k} (a_{1}, a_{2}, ...)$, defined by Peter Luschny?

answered Jul 5 at 7:18

9 votes

Accepted

Efficiently computing $\prod_{i=1}^{n} A_i$

answered Sep 5 at 16:31

9 votes

Matrices of combinatorial sequences that are inverse in two ways

answered Mar 22, 2022 at 11:13

9 votes

Solving functional equation $f(xy)=f(x+y)$ and Diophantine equations

answered Mar 23, 2022 at 8:54

8 votes

Accepted

Subsequence of the cubes

answered Sep 17, 2021 at 12:50

8 votes

Accepted

Divisibility of Stirling numbers

answered Jan 4, 2023 at 14:32

7 votes

A combinatorial question about certain sequences

answered May 2, 2022 at 19:16

7 votes

Accepted

Is this combinatorial identity known? (of interest for random matrix theory)

answered Jul 19, 2022 at 14:09

7 votes

Accepted

A polynomial identity involving Wick ordering of a complex power

answered May 17 at 8:31

7 votes

A Leibniz-like formula for $(f(x) \frac{d}{dx})^n f(x)$?

answered Feb 8, 2022 at 15:16

7 votes

Accepted

Odd partition with extra properties

answered Mar 28, 2022 at 11:15

7 votes

Accepted

Numbers $m$ for which coefficients of the polynomial $p(m,x)$ are relatively prime

answered Apr 7, 2022 at 21:37

6 votes

Accepted

Number of polyominoes with area $n$

answered Mar 7, 2022 at 11:36

6 votes

Expected number of compositions needed to get constant function

answered Dec 1, 2021 at 15:31

6 votes

How do we know there are no more Deligne–Mostow/Thurston lattices?

answered Mar 9, 2023 at 20:53

6 votes

Number of partitions of $n$ and number of different integers in 1-avoiding partitions

answered Jul 21, 2023 at 8:41

5 votes

Accepted

Guess the next polynoms in the sequence (MO vs. AI :), count anticommuting $F_p$-matrices, P. Hrubeš conjecture

answered Apr 24 at 16:26

5 votes

"Upside-down unimodal" sequences in combinatorics

answered Oct 5, 2023 at 16:06

5 votes

Matrices over $\mathbb{F}_p$ that have nonzero determinant under any element permutation

answered Nov 28, 2023 at 17:13

5 votes

Accepted

The exact number of points within a circle of radius r centered on a lattice point in a hexagonal lattice? Review expression Gauss circle problem

answered Feb 20, 2022 at 8:13

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138 Answers

Do combinatory logic bases need a function of 3 variables?

How can you find an integer coefficient polynomial knowing its values only at a few points (but requiring the coefficients be small)?

Splitting the integers from $1$ to $2n$ into two sets with products as close as possible

Places where one can post open problems

Multiple roots of polynomials with coefficients $\pm 1$

Are there exotic polynomial bijections from $\mathbb N^d$ onto $\mathbb N$?

Egyptian fraction of a number in the interval (0.5,1)

Do you recognize this sequence of polynomials?

Radio-playing sequence

Can all three numbers $\ n\ \ n^2-1\ \ n^2+1\ $ be fine (as opposed to coarse)?

What is the formula for $\mathcal P_{n}^{k} (a_{1}, a_{2}, ...)$, defined by Peter Luschny?

Efficiently computing $\prod_{i=1}^{n} A_i$

Matrices of combinatorial sequences that are inverse in two ways

Solving functional equation $f(xy)=f(x+y)$ and Diophantine equations

Subsequence of the cubes

Divisibility of Stirling numbers

A combinatorial question about certain sequences

Is this combinatorial identity known? (of interest for random matrix theory)

A polynomial identity involving Wick ordering of a complex power

A Leibniz-like formula for $(f(x) \frac{d}{dx})^n f(x)$?

Odd partition with extra properties

Numbers $m$ for which coefficients of the polynomial $p(m,x)$ are relatively prime

Number of polyominoes with area $n$

Expected number of compositions needed to get constant function

How do we know there are no more Deligne–Mostow/Thurston lattices?

Number of partitions of $n$ and number of different integers in 1-avoiding partitions

Guess the next polynoms in the sequence (MO vs. AI :), count anticommuting $F_p$-matrices, P. Hrubeš conjecture

"Upside-down unimodal" sequences in combinatorics

Matrices over $\mathbb{F}_p$ that have nonzero determinant under any element permutation

The exact number of points within a circle of radius r centered on a lattice point in a hexagonal lattice? Review expression Gauss circle problem