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Can I always split a friendly partition into two subpartitions, one of which is composed solely of 1, 2, 3, 4, and the largest part?
Suppose I have a partition $p$ of a positive integer $n$, $p$ is defined to be a friendly partition if and only if the following hold:
$n$ is divisible by $4$.
The length of $p$ is $\frac{n}{2}$.
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Natural set to express any natural number as sum of two in the set
Any natural number can be expressed as the sum of three triangular numbers, or as four square numbers. The natural analog for expressing numbers as the sum of two others would apparently be the sum ...
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