Newbetuts

# of partitions of $n$ into at most $r$ positive integers $=$ # of partitions of $n + r$ into exactly $r$ positive integers?

Partition an integer $n$ into exactly $k$ distinct parts

Number of k-tuples of non-negative integers whose sum equals a given integer

Prime Partition

Closed-form Expression of the Partition Function $p(n)$

Partitions of $n$ into distinct odd and even parts proof

Ellipse 3-partition: same area and perimeter

The number of partitions of $n$ into distinct parts equals the number of partitions of $n$ into odd parts

Feeding real or even complex numbers to the integer partition function $p(n)$?

Multiplication partitioning into k distinct elements

Number of positive integral solutions of $a+b+c+d+e=20$ such that $a<b<c<d<e$ and $(a,b,c,d,e)$ is distinct

Longest strict partition of a positive integer?

A "binomial" generalization of harmonic numbers

How solutions of distinct non-negative solutions are there to $k_1+\cdots+k_n=k$?

Number of possible combinations of x numbers that sum to y

Very curious properties of ordered partitions relating to Fibonacci numbers

Identity involving partitions of even and odd parts.

New posts in integer-partitions

Partitions of an integer into k parts.

Partition of ${1, 2, ... , n}$ into subsets with equal sums.

On the inequality $\frac{1+p(1)+p(2) + \dots + p(n-1)}{p(n)} \leq \sqrt {2n}.$

# of partitions of $n$ into at most $r$ positive integers $=$ # of partitions of $n + r$ into exactly $r$ positive integers?

Partition an integer $n$ into exactly $k$ distinct parts

Number of k-tuples of non-negative integers whose sum equals a given integer

Prime Partition

Closed-form Expression of the Partition Function $p(n)$

Partitions of $n$ into distinct odd and even parts proof

Ellipse 3-partition: same area and perimeter

The number of partitions of $n$ into distinct parts equals the number of partitions of $n$ into odd parts

Feeding real or even complex numbers to the integer partition function $p(n)$?

Multiplication partitioning into k distinct elements

Number of positive integral solutions of $a+b+c+d+e=20$ such that $a<b<c<d<e$ and $(a,b,c,d,e)$ is distinct

Longest strict partition of a positive integer?

A "binomial" generalization of harmonic numbers

How solutions of distinct non-negative solutions are there to $k_1+\cdots+k_n=k$?

Number of possible combinations of x numbers that sum to y

Very curious properties of ordered partitions relating to Fibonacci numbers

Identity involving partitions of even and odd parts.