Max Alekseyev's user avatar
Max Alekseyev's user avatar
Max Alekseyev's user avatar
Max Alekseyev
  • Member for 13 years, 9 months
  • Last seen this week
4 votes

Identity involving double sum with binomials

2 votes
Accepted

Reconstructing a 2-factor from its edge set

23 votes
Accepted

Are there infinitely many positive integer solutions to $(3+3k+l)^2=m\,(k\,l-k^3-1)$?

6 votes

Convergence of $\sum(n^p\sin^qn)^{-1}$

5 votes
Accepted

Analogue of Fermat's little theorem for Bernoulli numbers

10 votes
Accepted

Would efficient factoring have any *other* useful applications?

7 votes

For which $n$ is $\sum_{k=1}^n 1 / \varphi(k)$ an integer?

3 votes
Accepted

Maximum number of distinct $n$-runs that binary sequence of length $2^n$ can have

3 votes
Accepted

Does anyone have ideas about how to simplify this combinatorial expression (mod 2)?

17 votes

When do binomial coefficients sum to a power of 2?

24 votes

When do binomial coefficients sum to a power of 2?

3 votes
Accepted

Relation between $\sum_{k\ge 0}\binom {n+k}{k}a_k $ and $\sum_{k\ge 0}\binom {n+k}{k}\frac{a_k}{k}$

4 votes
Accepted

What work can be done to study the solutions of $\varphi\left(x^{\sigma(x)}\sigma(x)^x\right)=2^{x-1} x^{3x-1}\varphi(x)$?

2 votes

Polynomial invariant — from product formula to monomial expansion

1 vote
Accepted

Simplification of $\sum_{m=0}^\infty \text B_z(m+a,b-m)x^m,\sum_{m=0}^\infty \frac{\text B_z(m+a,b-m)x^m}{m!}$ in terms of Kampé de Fériet function

1 vote
Accepted

Number of walks on a graph passing through a specific vertex

4 votes
Accepted

Is there an efficient generalized algorithm to find at least one binary word with the maximum rotational imbalance and the full $\{0, 1\}$-balance?

3 votes

Another generalization of parity of Catalan numbers

8 votes
Accepted

Is there a website or a survey collecting all NP-complete problems on graph theory?

5 votes
Accepted

$\sum_{1\leq a,b\leq n}\mathcal{P}(\gcd(a,b,n))$

2 votes
Accepted

Sequence that sums up to INVERTi transform applied to the ordered Bell numbers

12 votes

Do you recognize this sequence of polynomials?

1 vote
Accepted

Pair of recurrence relations with $a(2n+1)=a(2f(n))$

2 votes
Accepted

A problem on generators and Hensel lifting

2 votes
Accepted

Sum with Stirling numbers of the second kind

8 votes
Accepted

A moment sequence and Motzkin numbers. Modular coincidence?

3 votes
Accepted

A special class of weighted Motzkin paths

2 votes
Accepted

Formula from the recurrence relation

5 votes

A conjecture about 433

3 votes
Accepted

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