Triangular number

A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. This shows that the square of the nth triangular number is equal to the sum of the first n cube numbers.

A triangular number or triangle number counts the objects that can form an equilateral triangle, as in the diagram on the right. The $n$ th triangular number is the number of dots composing a triangle with $n$ dots on a side, and is equal to the sum of the $n$ natural numbers from 1 to $n$ . The sequence of triangular numbers (sequence A000217 in OEIS), starting at the 0th triangular number, is

单词	Triangular Numbers
释义	Triangular Numbers 英语百科 Triangular number A triangular number or triangle number counts the objects that can form an equilateral triangle, as in the diagram on the right. The $n$ th triangular number is the number of dots composing a triangle with $n$ dots on a side, and is equal to the sum of the $n$ natural numbers from 1 to $n$ . The sequence of triangular numbers (sequence A000217 in OEIS), starting at the 0th triangular number, is
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Triangular Numbers

Triangular number