三角平方數
Sign in to saveinteger that is both a perfect square and a triangular number
In the Vinony graph
Within Vinony's link graph, 三角平方數 is referenced by 225 other articles, and connects out to prime number, continued fraction and On-Line Encyclopedia of Integer Sequences.
It is catalogued under topics including Figurate numbers and Integer sequences.
Its subject is documented across 18 Wikipedia language editions.
Wikidata facts
- Subclass of
- square number
Show 2 more facts
- Commons category
- Square triangular number
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
Article · 中文
三角平方數是既是三角形數，又是平方數的數。三角平方數有無限個，可以由以下公式求得： 找尋三角平方數的問題可用以下方法簡化成佩爾方程。每個平方數的形式為，三角形數的則為。於是求n, m使得： 設，，代入之，得方程。 第個三角平方數等於第個平方數及第個三角形數，它們的關係為 可以由下面的方式得出： 亦可用遞歸的方式求得： 當越大，就會趨近： 它們實際上是「為偶數的佩爾數」的一半再平方的值。
Abstract from DBpedia / Wikipedia · CC BY-SA
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