New posts in combinatorics

Proof of a Combinatorial Abel Identity

how many permutations of {1,2,...,9}

What is known about the minimal number $f(n)$ of geometric progressions needed to cover $\{1,2,\ldots,n\}$, as a function of $n$?

Number of invertible matrices over finite rings

Permutations of a set that keep at least one integer fixed

Permutation with Duplicates

Combinatorial interpretation of Delannoy numbers formula

The number of permutations of $\{1,2,\ldots,n\}$ that have exactly one ascent (rise).

What is the expression for putting $n$ indistinguishable balls into $k$ indistinguishable cells?

Positivity of the alternating sum associated to at most five subspaces

de Bruijn sequence in which order of subsquences doesn't matter

Getting everyone to meet everyone else

Number of $n^2\times n^2$ permutation matrices with a 1 in each $n\times n$ subgrid

Partition a set into g groups, k different ways, such that no pair of elements is ever in the same group together more than M times

Combinatorics proof (any set of 16 numbers from 1 to 100 contains repeated sums)

Formula for finite sum $\sum_{1\leq\alpha_{1}<\alpha_{2}<\ldots<\alpha_{k}\leq n}\frac{\alpha_{1}+\alpha_{2}+\ldots+\alpha_{k}}{k}$

Isomorphism between $E_8$ lattice and lattice defined by Extended Hamming Code

Stirling numbers combinatorial proof

Find an infinite set of positive integers such that the sum of any two distinct elements has an even number of distinct prime factors

Is there a closed form for the sum of the cubes of the binomial coefficients?