He also states that a square number is equal to twice a triangular number minus the generating number, equivalent to n2 = 2 [n (n + 1)/2] – n. The multiplication formula for triangular numbers was ...

Test if a value is a square triangular number. Contribute to stdlib-js/assert-is-square-triangular-number development by creating an account on GitHub.

We are told that a triangular number, when it is multiplied by 8 and then 1 is added to it, yields a square number. For example, we have that the third triangular number is 6, and 6 x 8 + = 49 = 7 x 7 ...

Explore the fascinating world of polygonal numbers and sums of squares of primes in number theory. Discover matrix expressions for consecutive orders of polygonal numbers and solve Diophantine ...

Figuring out Figurate Numbers The figure below shows the visual pattern for the first few triangular, square, pentagonal, and hexagonal numbers. These numbers are called figurate numbers. The number ...

Square numbers are those which literally form square shapes when laid out with dots. The number nine is a good example, as it is formed of three rows of three dots, comprising a perfect square. We ...

The figure below shows the visual pattern for the first few triangular, square, pentagonal, and hexagonal numbers. These numbers are called figurate numbers. The number of dots in an individual ...

Learn about how triangle sequences, quadratic sequences and the common difference with this BBC Bitesize Maths article. For students between the ages of 11 and 14.