On the representation of the integers as a difference of nonconsecutive triangular numbers (Q2735225)
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scientific article; zbMATH DE number 1640216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the representation of the integers as a difference of nonconsecutive triangular numbers |
scientific article; zbMATH DE number 1640216 |
Statements
3 September 2002
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triangular numbers
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On the representation of the integers as a difference of nonconsecutive triangular numbers (English)
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The main result of this paper is the following: For \(M\in \mathbb{Z}\setminus \{0\}\), the number of distinct representations of \(M\) as a difference of nonconsecutive triangular numbers is given by \(D-1\), where \(D\) is the number of odd divisors of \(M\). There are also some interesting corollaries.
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