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/
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Source Wolfram MathWorld: Square Triangular Number
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1. Square Triangular Number (Wikipedia)
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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.
Wolfram MathWorld: Square Triangular Number
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