A square triangular number is a number that is both a triangular number and a perfect square, meaning the sum of all integers from 1 to some n is itself a number with an integer square root. The first few square triangular numbers are 0, 1, 36, 1225 and 41616. There are infinitely many of them, though they become increasingly rare as the values grow larger. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Finite or Infinite Connections
In Branch
Source Wolfram MathWorld: Square Triangular Number
Is Kind Of Object
Sources
1. Square Triangular Number (Wikipedia)
Lead section
In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a square number, in other words, the sum of all integers from 1 {\displaystyle 1} to n {\displaystyle n} has a square root that is an integer.
Lead section, finite or infinite
There are infinitely many square triangular numbers
View the SourceWolfram MathWorld: Square Triangular Number
Wolfram MathWorldIn Branch: Number Theory, Subject classificationsQuote, In Branch: Number Theory, Subject classifications
Number Theory Special Numbers
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