Triangular number information

A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n ) 2...

mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a square number. There are infinitely...

n} th triangular number, then the doubly triangular numbers are the numbers of the form T T n {\displaystyle T_{T_{n}}} . The doubly triangular numbers...

triangular number and tetrahedral number. While 55 is the tenth triangular number, it is also the tenth Fibonacci number, and the largest such number...

A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other...

the seventh triangular number and like 6 a perfect number, which also includes 496, the thirty-first triangular number and perfect number of the form...

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron...

cube numbers and triangular numbers). In the real number system, square numbers are non-negative. A non-negative integer is a square number when its square...

numbers. The number 10 for example, can be arranged as a triangle (see triangular number): But 10 cannot be arranged as a square. The number 9, on the other...